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Text

LOGARITHM CALCULATOR LOG(X)LOG CALCULATORNATURAL LOGARITHM LN(X)COMMON LOG BASE 10CONTACT US The logarithm log b (x) = y is read as log base b of x is equals to y. Please note that the base of log number b must be greater than 0 and must not be equal to 1. And the number (x) which we are calculating log base of (b) must be a positive real number. For example log 2 of 8 is equal to 3. log 2 (8) = 3 (log base 2 of 8) The exponential is 2 LOG BASE 2 CALCULATOR LOG2 Log base 2 calculator finds the log function result in base two. Calculate the log2(x) logarithm of a real number, find log base 2 of a

number.

COMMON LOG CALCULATOR LOG(X) BASE 10 LOG10 …TRANSLATE THIS PAGE Common log calculator finds the log function result in base 10. Calculate the log(x) logarithm of a real number, find log base 10 of a number with Log10 Calculator. NATURAL LOGARITHM CALCULATOR LN(X) Natural logarithm calculator finds the log function result in base e (exponential). Calculate the ln(x) natural logarithm of a real number. CONTACT US - LOG CALCULATOR Contact Us. We want to improve our website and make a helpful and easy to use log calculator. We love to hear from you, please send your feedbacks and contact us at: SITEMAP - LOGCALCULATOR.NET Sitemap. Logarithm Calculator. Natural Logarithm Calculator. Log base 2 Calculator. Common Log Calculator base 10. PRIVACY POLICY AND COOKIES Privacy Policy. Before using our website, please read our privacy policy and cookies information. Google analytics. Logcalculator.net uses Google Analytics to monitor LOGARITHM CALCULATOR LOG(X)LOG CALCULATORNATURAL LOGARITHM LN(X)COMMON LOG BASE 10CONTACT US The logarithm log b (x) = y is read as log base b of x is equals to y. Please note that the base of log number b must be greater than 0 and must not be equal to 1. And the number (x) which we are calculating log base of (b) must be a positive real number. For example log 2 of 8 is equal to 3. log 2 (8) = 3 (log base 2 of 8) The exponential is 2 LOG BASE 2 CALCULATOR LOG2 Log base 2 calculator finds the log function result in base two. Calculate the log2(x) logarithm of a real number, find log base 2 of a

number.

COMMON LOG CALCULATOR LOG(X) BASE 10 LOG10 …TRANSLATE THIS PAGE Common log calculator finds the log function result in base 10. Calculate the log(x) logarithm of a real number, find log base 10 of a number with Log10 Calculator. NATURAL LOGARITHM CALCULATOR LN(X) Natural logarithm calculator finds the log function result in base e (exponential). Calculate the ln(x) natural logarithm of a real number. CONTACT US - LOG CALCULATOR Contact Us. We want to improve our website and make a helpful and easy to use log calculator. We love to hear from you, please send your feedbacks and contact us at: SITEMAP - LOGCALCULATOR.NET Sitemap. Logarithm Calculator. Natural Logarithm Calculator. Log base 2 Calculator. Common Log Calculator base 10. PRIVACY POLICY AND COOKIES Privacy Policy. Before using our website, please read our privacy policy and cookies information. Google analytics. Logcalculator.net uses Google Analytics to monitor LOGARITHM CALCULATOR LOG(X) The logarithm log b (x) = y is read as log base b of x is equals to y. Please note that the base of log number b must be greater than 0 and must not be equal to 1. And the number (x) which we are calculating log base of (b) must be a positive real number. For example log 2 of 8 is equal to 3. log 2 (8) = 3 (log base 2 of 8) The exponential is 2 LOG BASE 2 CALCULATOR LOG2 Log base 2 calculator finds the log function result in base two. Calculate the log2(x) logarithm of a real number, find log base 2 of a

number.

NATURAL LOGARITHM CALCULATOR LN(X) Natural logarithm calculator finds the log function result in base e (exponential). Calculate the ln(x) natural logarithm of a real number. COMMON LOG CALCULATOR LOG(X) BASE 10 LOG10 …TRANSLATE THIS PAGE Common log calculator finds the log function result in base 10. Calculate the log(x) logarithm of a real number, find log base 10 of a number with Log10 Calculator. CONTACT US - LOG CALCULATOR Contact Us. We want to improve our website and make a helpful and easy to use log calculator. We love to hear from you, please send your feedbacks and contact us at:

SITEMAP

Sitemap. Logarithm Calculator. Natural Logarithm Calculator. Log base 2 Calculator. Common Log Calculator base 10. PRIVACY POLICY AND COOKIES Privacy Policy. Before using our website, please read our privacy policy and cookies information. Google analytics. Logcalculator.net uses Google Analytics to monitor LOGARITHM CALCULATOR LOG(X)LOG CALCULATORNATURAL LOGARITHM LN(X)COMMON LOG BASE 10CONTACT US The logarithm log b (x) = y is read as log base b of x is equals to y. Please note that the base of log number b must be greater than 0 and must not be equal to 1. And the number (x) which we are calculating log base of (b) must be a positive real number. For example log 2 of 8 is equal to 3. log 2 (8) = 3 (log base 2 of 8) The exponential is 2 LOG BASE 2 CALCULATOR LOG2 Log base 2 calculator finds the log function result in base two. Calculate the log2(x) logarithm of a real number, find log base 2 of a

number.

NATURAL LOGARITHM CALCULATOR LN(X) Natural logarithm calculator finds the log function result in base e (exponential). Calculate the ln(x) natural logarithm of a real number. COMMON LOG CALCULATOR LOG(X) BASE 10 LOG10 …TRANSLATE THIS PAGE Common log calculator finds the log function result in base 10. Calculate the log(x) logarithm of a real number, find log base 10 of a number with Log10 Calculator. SITEMAP - LOGCALCULATOR.NET Sitemap. Logarithm Calculator. Natural Logarithm Calculator. Log base 2 Calculator. Common Log Calculator base 10. PRIVACY POLICY AND COOKIES Privacy Policy. Before using our website, please read our privacy policy and cookies information. Google analytics. Logcalculator.net uses Google Analytics to monitor CONTACT US - LOGCALCULATOR.NET Contact Us. We want to improve our website and make a helpful and easy to use log calculator. We love to hear from you, please send your feedbacks and contact us at: LOGARITHM CALCULATOR LOG(X)LOG CALCULATORNATURAL LOGARITHM LN(X)COMMON LOG BASE 10CONTACT US The logarithm log b (x) = y is read as log base b of x is equals to y. Please note that the base of log number b must be greater than 0 and must not be equal to 1. And the number (x) which we are calculating log base of (b) must be a positive real number. For example log 2 of 8 is equal to 3. log 2 (8) = 3 (log base 2 of 8) The exponential is 2 LOG BASE 2 CALCULATOR LOG2 Log base 2 calculator finds the log function result in base two. Calculate the log2(x) logarithm of a real number, find log base 2 of a

number.

NATURAL LOGARITHM CALCULATOR LN(X) Natural logarithm calculator finds the log function result in base e (exponential). Calculate the ln(x) natural logarithm of a real number. COMMON LOG CALCULATOR LOG(X) BASE 10 LOG10 …TRANSLATE THIS PAGE Common log calculator finds the log function result in base 10. Calculate the log(x) logarithm of a real number, find log base 10 of a number with Log10 Calculator. SITEMAP - LOGCALCULATOR.NET Sitemap. Logarithm Calculator. Natural Logarithm Calculator. Log base 2 Calculator. Common Log Calculator base 10. PRIVACY POLICY AND COOKIES Privacy Policy. Before using our website, please read our privacy policy and cookies information. Google analytics. Logcalculator.net uses Google Analytics to monitor CONTACT US - LOGCALCULATOR.NET Contact Us. We want to improve our website and make a helpful and easy to use log calculator. We love to hear from you, please send your feedbacks and contact us at: LOGARITHM CALCULATOR LOG(X) The logarithm log b (x) = y is read as log base b of x is equals to y. Please note that the base of log number b must be greater than 0 and must not be equal to 1. And the number (x) which we are calculating log base of (b) must be a positive real number. For example log 2 of 8 is equal to 3. log 2 (8) = 3 (log base 2 of 8) The exponential is 2 LOG BASE 2 CALCULATOR LOG2 Log base 2 calculator finds the log function result in base two. Calculate the log2(x) logarithm of a real number, find log base 2 of a

number.

NATURAL LOGARITHM CALCULATOR LN(X) Natural logarithm calculator finds the log function result in base e (exponential). Calculate the ln(x) natural logarithm of a real number. COMMON LOG CALCULATOR LOG(X) BASE 10 LOG10 …TRANSLATE THIS PAGE Common log calculator finds the log function result in base 10. Calculate the log(x) logarithm of a real number, find log base 10 of a number with Log10 Calculator. SITEMAP - LOGCALCULATOR.NET Sitemap. Logarithm Calculator. Natural Logarithm Calculator. Log base 2 Calculator. Common Log Calculator base 10. PRIVACY POLICY AND COOKIES Privacy Policy. Before using our website, please read our privacy policy and cookies information. Google analytics. Logcalculator.net uses Google Analytics to monitor CONTACT US - LOGCALCULATOR.NET Contact Us. We want to improve our website and make a helpful and easy to use log calculator. We love to hear from you, please send your feedbacks and contact us at:

* Log Calculator

* Natural Logarithm ln(x) * Common Log base 10

* Log base 2

LOGARITHM CALCULATOR LOG CALCULATOR finds the logarithm function result (can be called exponent) from the given base number and a real number. Log Calculator LOG Calculate

logb(x) = y

logb(x) = y

x = logb(bx)

LOGB(X) = Y is equivalent to X = BY B: log base number, b>0 and b≠1 X: is real number, x>0

LOGARITHM

LOGARITHM is considered to be one of the basic concepts in mathematics. There are plenty of definitions, starting from really complicated and ending up with rather simple ones. In order to answer a question, what a logarithm is, let's take a look at the table below:

21

22

23

24

25

26

2

4

8

16

32

64

This is the table in which we can see the values of two squared, two cubed, and so on. This is an operation in mathematics, known as EXPONENTIATION. If we look at the numbers at the bottom line, we can try to find the power value to which 2 must be raised to get this number. For example, to get 16, it is necessary to raise two to the fourth power. And to get a 64, you need to raise two to the sixth

power.

Therefore, LOGARITHM IS THE EXPONENT TO WHICH IT IS NECESSARY TO RAISE A FIXED NUMBER (which is called the base), to get the number y. In other words, a logarithm can be represented as the following:

logb x = y

with b being the base, x being a real number, and y being an exponent. For example, 23 = 8 ⇒ log2 8 = 3 (the logarithm of 8 to base 2 is equal to 3, because 23 = 8). Similarly, log2 64 = 6, because 26 = 64. Therefore, it is obvious that LOGARITHM OPERATION IS AN INVERSE ONE TO

EXPONENTIATION.

21

22

23

24

25

26

2

4

8

16

32

64

log22 = 1

log24 = 2

log28 = 3

log216 = 4

log232 = 5

log264 = 6

Unfortunately, not all logarithms can be calculated that easily. For example, finding log2 5 is hardly possible by just using our simple calculation abilities. After using logarithm calculator , we can find out that

log2 5 = 2,32192809

There are a few specific types of logarithms. For example, the logarithm to base 2 is known as the binary logarithm, and it is widely used in computer science and programming languages. The logarithm to base 10 is usually referred to as the common logarithm, and it has a huge number of applications in engineering, scientific research, technology, etc. Finally, so called natural logarithm uses the number e (which is approximately equal to 2.71828) as its base, and this kind of logarithm has a great importance in mathematics, physics, and other

precise sciences.

The LOGARITHM logb(x) = y is read as log base b of x is equals to y. Please note that the BASE OF LOG number b must be greater than 0 and must not be equal to 1. And the number (x) which we are calculating LOG base of (b) must be a positive real number. For example log 2 of 8 is equal to 3. log2(8) = 3 (log base 2 of 8) The exponential is 23 = 8 COMMON VALUES FOR LOG BASE

LOG BASE

LOG NAME

NOTATION

LOG EXAMPLE

2

binary logarithm

lb(x)

log2(16) = lb(16) = 4 => 24 = 16

10

common logarithm

lg(x)

log10(1000) = lg(1000) = 3 => 103 = 1000

e

natural logarithm

ln(x)

loge(8) = ln(8) = 2.0794 => e2.0794 = 8 LOGARITHMIC IDENTITIES List of logarithmic identites, formulas and log examples in logarithm

form.

LOGARITHM OF A PRODUCT logb(x·y) = logb(x) + logb(y) log2(5·7) = log2(5) + log2(7) LOGARITHM OF A QUOTIENT logb(x/y) = logb(x) - logb(y) log2(5/7) = log2(5) - log2(7) LOGARITHM OF A POWER logb(xy) = y·logb(x) log2(57) = 7·log2(5)

CHANGE OF BASE

logb(x) = (logk(x)) / (logk(b)) LOGARITHM VALUES TABLES List of log function values tables in common base numbers.

NUMBER (X)

NOTATION

LOG2(X)

log2(1)

lb(1)

0

log2(2)

lb(2)

1

log2(3)

lb(3)

1.584963

log2(4)

lb(4)

2

log2(5)

lb(5)

2.321928

log2(6)

lb(6)

2.584963

log2(7)

lb(7)

2.807355

log2(8)

lb(8)

3

log2(9)

lb(9)

3.169925

log2(10)

lb(10)

3.321928

log2(11)

lb(11)

3.459432

log2(12)

lb(12)

3.584963

log2(13)

lb(13)

3.70044

log2(14)

lb(14)

3.807355

log2(15)

lb(15)

3.906891

log2(16)

lb(16)

4

log2(17)

lb(17)

4.087463

log2(18)

lb(18)

4.169925

log2(19)

lb(19)

4.247928

log2(20)

lb(20)

4.321928

log2(21)

lb(21)

4.392317

log2(22)

lb(22)

4.459432

log2(23)

lb(23)

4.523562

log2(24)

lb(24)

4.584963

log2(25)

lb(25)

4.643856

log2(26)

lb(26)

4.70044

log2(27)

lb(27)

4.754888

log2(28)

lb(28)

4.807355

log2(29)

lb(29)

4.857981

log2(30)

lb(30)

4.906891

log2(31)

lb(31)

4.954196

log2(32)

lb(32)

5

log2(33)

lb(33)

5.044394

log2(34)

lb(34)

5.087463

log2(35)

lb(35)

5.129283

log2(36)

lb(36)

5.169925

log2(37)

lb(37)

5.209453

log2(38)

lb(38)

5.247928

log2(39)

lb(39)

5.285402

log2(40)

lb(40)

5.321928

log2(41)

lb(41)

5.357552

log2(42)

lb(42)

5.392317

log2(43)

lb(43)

5.426265

log2(44)

lb(44)

5.459432

log2(45)

lb(45)

5.491853

log2(46)

lb(46)

5.523562

log2(47)

lb(47)

5.554589

log2(48)

lb(48)

5.584963

log2(49)

lb(49)

5.61471

log2(50)

lb(50)

5.643856

log2(51)

lb(51)

5.672425

log2(52)

lb(52)

5.70044

log2(53)

lb(53)

5.72792

log2(54)

lb(54)

5.754888

log2(55)

lb(55)

5.78136

log2(56)

lb(56)

5.807355

log2(57)

lb(57)

5.83289

log2(58)

lb(58)

5.857981

log2(59)

lb(59)

5.882643

log2(60)

lb(60)

5.906891

log2(61)

lb(61)

5.930737

log2(62)

lb(62)

5.954196

log2(63)

lb(63)

5.97728

log2(64)

lb(64)

6

NUMBER (X)

NOTATION

LOG10(X)

log10(1)

log(1)

0

log10(2)

log(2)

0.30103

log10(3)

log(3)

0.477121

log10(4)

log(4)

0.60206

log10(5)

log(5)

0.69897

log10(6)

log(6)

0.778151

log10(7)

log(7)

0.845098

log10(8)

log(8)

0.90309

log10(9)

log(9)

0.954243

log10(10)

log(10)

1

log10(11)

log(11)

1.041393

log10(12)

log(12)

1.079181

log10(13)

log(13)

1.113943

log10(14)

log(14)

1.146128

log10(15)

log(15)

1.176091

log10(16)

log(16)

1.20412

log10(17)

log(17)

1.230449

log10(18)

log(18)

1.255273

log10(19)

log(19)

1.278754

log10(20)

log(20)

1.30103

log10(21)

log(21)

1.322219

log10(22)

log(22)

1.342423

log10(23)

log(23)

1.361728

log10(24)

log(24)

1.380211

log10(25)

log(25)

1.39794

log10(26)

log(26)

1.414973

log10(27)

log(27)

1.431364

log10(28)

log(28)

1.447158

log10(29)

log(29)

1.462398

log10(30)

log(30)

1.477121

log10(31)

log(31)

1.491362

log10(32)

log(32)

1.50515

log10(33)

log(33)

1.518514

log10(34)

log(34)

1.531479

log10(35)

log(35)

1.544068

log10(36)

log(36)

1.556303

log10(37)

log(37)

1.568202

log10(38)

log(38)

1.579784

log10(39)

log(39)

1.591065

log10(40)

log(40)

1.60206

log10(41)

log(41)

1.612784

log10(42)

log(42)

1.623249

log10(43)

log(43)

1.633468

log10(44)

log(44)

1.643453

log10(45)

log(45)

1.653213

log10(46)

log(46)

1.662758

log10(47)

log(47)

1.672098

log10(48)

log(48)

1.681241

log10(49)

log(49)

1.690196

log10(50)

log(50)

1.69897

log10(51)

log(51)

1.70757

log10(52)

log(52)

1.716003

log10(53)

log(53)

1.724276

log10(54)

log(54)

1.732394

log10(55)

log(55)

1.740363

log10(56)

log(56)

1.748188

log10(57)

log(57)

1.755875

log10(58)

log(58)

1.763428

log10(59)

log(59)

1.770852

log10(60)

log(60)

1.778151

log10(61)

log(61)

1.78533

log10(62)

log(62)

1.792392

log10(63)

log(63)

1.799341

log10(64)

log(64)

1.80618

NUMBER (X)

NOTATION

LN(X)

loge(1)

ln(1)

0

loge(2)

ln(2)

0.693147

loge(3)

ln(3)

1.098612

loge(4)

ln(4)

1.386294

loge(5)

ln(5)

1.609438

loge(6)

ln(6)

1.791759

loge(7)

ln(7)

1.94591

loge(8)

ln(8)

2.079442

loge(9)

ln(9)

2.197225

loge(10)

ln(10)

2.302585

loge(11)

ln(11)

2.397895

loge(12)

ln(12)

2.484907

loge(13)

ln(13)

2.564949

loge(14)

ln(14)

2.639057

loge(15)

ln(15)

2.70805

loge(16)

ln(16)

2.772589

loge(17)

ln(17)

2.833213

loge(18)

ln(18)

2.890372

loge(19)

ln(19)

2.944439

loge(20)

ln(20)

2.995732

loge(21)

ln(21)

3.044522

loge(22)

ln(22)

3.091042

loge(23)

ln(23)

3.135494

loge(24)

ln(24)

3.178054

loge(25)

ln(25)

3.218876

loge(26)

ln(26)

3.258097

loge(27)

ln(27)

3.295837

loge(28)

ln(28)

3.332205

loge(29)

ln(29)

3.367296

loge(30)

ln(30)

3.401197

loge(31)

ln(31)

3.433987

loge(32)

ln(32)

3.465736

loge(33)

ln(33)

3.496508

loge(34)

ln(34)

3.526361

loge(35)

ln(35)

3.555348

loge(36)

ln(36)

3.583519

loge(37)

ln(37)

3.610918

loge(38)

ln(38)

3.637586

loge(39)

ln(39)

3.663562

loge(40)

ln(40)

3.688879

loge(41)

ln(41)

3.713572

loge(42)

ln(42)

3.73767

loge(43)

ln(43)

3.7612

loge(44)

ln(44)

3.78419

loge(45)

ln(45)

3.806662

loge(46)

ln(46)

3.828641

loge(47)

ln(47)

3.850148

loge(48)

ln(48)

3.871201

loge(49)

ln(49)

3.89182

loge(50)

ln(50)

3.912023

loge(51)

ln(51)

3.931826

loge(52)

ln(52)

3.951244

loge(53)

ln(53)

3.970292

loge(54)

ln(54)

3.988984

loge(55)

ln(55)

4.007333

loge(56)

ln(56)

4.025352

loge(57)

ln(57)

4.043051

loge(58)

ln(58)

4.060443

loge(59)

ln(59)

4.077537

loge(60)

ln(60)

4.094345

loge(61)

ln(61)

4.110874

loge(62)

ln(62)

4.127134

loge(63)

ln(63)

4.143135

loge(64)

ln(64)

4.158883

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