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Calculate Log 3
To solve the equation log (3) = x using a base distinct from 10 carry out the following steps.- Apply the change of base rule: log a (x) = log b (x) / log b (a) With b = e: log a (x) = ln(x) / ln(a)
- Substitute the variables: With x = 3, a = 10: log (3) = ln(3) / ln(10)
- Evaluate the term: ln(3) / ln(10) = 8.74113642290101 / 2.30258509299405 = 0.47712125471966 = Decimal logarithm of 3
Additional Information
- From the definition of logarithm b y = x ⇔ y = log b(x) follows that 10 0.47712125471966 = 3
- 10 0.47712125471966 = 3 is the exponential form of log(3)
- 10 is the logarithm base of log(3)
- 3 is the argument of log(3)
- 0.47712125471966 is the exponent or power of 10 0.47712125471966 = 3
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FAQs
What is the value of log 3?
Log(3) = 0.47712125471966.
How do you find the value of log3?
Carry out the change of base logarithm operation.
What does log 3 mean?
It means the logarithm of 3 with base 10.
How do you solve decimal log 3?
Apply the change of base rule, substitute the variables, and evaluate the term.
What is the decimal logaritm of 3?
The value is 0.47712125471966.
How do you write log3 in exponential form?
In exponential form is 10 0.47712125471966 = 3.
What is log(3) equal to?
Decimal log of 3 = 0.47712125471966.
For further questions about the logarithm equation, common logarithms, the exponential function or the exponential equation fill in the form at the bottom.
Summary
In conclusion, log 3 = 0.47712125471966.You now know everything about the decimal logarithm with argument 3 and exponent 0.47712125471966.
Further information, particularly about the binary logarithm, natural logarithm and decadic logarithm can be located in our article logarithm.
Besides the types of logarithms, there, we also shed a light on the terms on the properties of logarithms and the logarithm function, just to name a few.
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Table
Our quick conversion table is easy to use:| log(x) | Value | |
|---|---|---|
| log(2.5) | = | 0.39794000867204 |
| log(2.51) | = | 0.39967372148104 |
| log(2.52) | = | 0.40140054078154 |
| log(2.53) | = | 0.40312052117582 |
| log(2.54) | = | 0.40483371661994 |
| log(2.55) | = | 0.40654018043396 |
| log(2.56) | = | 0.40823996531185 |
| log(2.57) | = | 0.40993312333129 |
| log(2.58) | = | 0.41161970596323 |
| log(2.59) | = | 0.41329976408125 |
| log(2.6) | = | 0.41497334797082 |
| log(2.61) | = | 0.41664050733828 |
| log(2.62) | = | 0.41830129131975 |
| log(2.63) | = | 0.41995574848976 |
| log(2.64) | = | 0.42160392686983 |
| log(2.65) | = | 0.42324587393681 |
| log(2.66) | = | 0.42488163663107 |
| log(2.67) | = | 0.42651126136457 |
| log(2.68) | = | 0.42813479402879 |
| log(2.69) | = | 0.42975228000241 |
| log(2.7) | = | 0.43136376415899 |
| log(2.71) | = | 0.4329692908744 |
| log(2.72) | = | 0.4345689040342 |
| log(2.73) | = | 0.43616264704076 |
| log(2.74) | = | 0.43775056282039 |
| log(2.75) | = | 0.43933269383026 |
| log(2.76) | = | 0.44090908206522 |
| log(2.77) | = | 0.44247976906445 |
| log(2.78) | = | 0.44404479591808 |
| log(2.79) | = | 0.4456042032736 |
| log(2.8) | = | 0.44715803134222 |
| log(2.81) | = | 0.44870631990508 |
| log(2.82) | = | 0.45024910831936 |
| log(2.83) | = | 0.45178643552429 |
| log(2.84) | = | 0.45331834004704 |
| log(2.85) | = | 0.45484486000851 |
| log(2.86) | = | 0.45636603312904 |
| log(2.87) | = | 0.45788189673399 |
| log(2.88) | = | 0.45939248775923 |
| log(2.89) | = | 0.46089784275655 |
| log(2.9) | = | 0.46239799789895 |
| log(2.91) | = | 0.46389298898591 |
| log(2.92) | = | 0.46538285144842 |
| log(2.93) | = | 0.46686762035411 |
| log(2.94) | = | 0.46834733041216 |
| log(2.95) | = | 0.46982201597816 |
| log(2.96) | = | 0.47129171105894 |
| log(2.97) | = | 0.47275644931721 |
| log(2.98) | = | 0.47421626407625 |
| log(2.99) | = | 0.47567118832443 |
| log(3) | = | 0.47712125471966 |
| log(3.01) | = | 0.47856649559384 |
| log(3.02) | = | 0.48000694295715 |
| log(3.03) | = | 0.4814426285023 |
| log(3.04) | = | 0.48287358360875 |
| log(3.05) | = | 0.48429983934678 |
| log(3.06) | = | 0.48572142648158 |
| log(3.07) | = | 0.48713837547718 |
| log(3.08) | = | 0.48855071650044 |
| log(3.09) | = | 0.48995847942483 |
| log(3.1) | = | 0.49136169383427 |
| log(3.11) | = | 0.49276038902684 |
| log(3.12) | = | 0.49415459401844 |
| log(3.13) | = | 0.49554433754645 |
| log(3.14) | = | 0.49692964807321 |
| log(3.15) | = | 0.4983105537896 |
| log(3.16) | = | 0.4996870826184 |
| log(3.17) | = | 0.50105926221775 |
| log(3.18) | = | 0.50242711998443 |
| log(3.19) | = | 0.50379068305718 |
| log(3.2) | = | 0.5051499783199 |
| log(3.21) | = | 0.50650503240487 |
| log(3.22) | = | 0.50785587169583 |
| log(3.23) | = | 0.5092025223311 |
| log(3.24) | = | 0.51054501020661 |
| log(3.25) | = | 0.51188336097887 |
| log(3.26) | = | 0.51321760006794 |
| log(3.27) | = | 0.51454775266028 |
| log(3.28) | = | 0.51587384371168 |
| log(3.29) | = | 0.51719589794997 |
| log(3.3) | = | 0.51851393987789 |
| log(3.31) | = | 0.51982799377572 |
| log(3.32) | = | 0.52113808370403 |
| log(3.33) | = | 0.52244423350632 |
| log(3.34) | = | 0.52374646681156 |
| log(3.35) | = | 0.52504480703684 |
| log(3.36) | = | 0.52633927738984 |
| log(3.37) | = | 0.52762990087134 |
| log(3.38) | = | 0.52891670027765 |
| log(3.39) | = | 0.53019969820308 |
| log(3.4) | = | 0.53147891704225 |
| log(3.41) | = | 0.5327543789925 |
| log(3.42) | = | 0.53402610605613 |
| log(3.43) | = | 0.53529412004277 |
| log(3.44) | = | 0.53655844257153 |
| log(3.45) | = | 0.53781909507327 |
| log(3.46) | = | 0.53907609879277 |
| log(3.47) | = | 0.54032947479087 |
| log(3.48) | = | 0.54157924394658 |
| log(3.49) | = | 0.54282542695918 |
| log(3.5) | = | 0.54406804435027 |
| log(3.51) | = | 0.54530711646582 |
Decimal Logarithm Quiz
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