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Calculate Log Base 3 of 10
To solve the equation log3 (10) = x carry out the following steps.- Apply the change of base rule:loga (x) = logb (x) / logb (a)With b = 10:loga (x) = log(x) / log(a)
- Substitute the variables:With x = 10, a = 3:log3 (10) = log(10) / log(3)
- Evaluate the term:log(10) / log(3)= 1 / 0.477121254719662= 2.0959032743= Logarithm of 10 with base 3
Additional Information
- From the definition of logarithm by = x ⇔ y = logb(x) follows that 32.0959032743 = 10
- 32.0959032743 = 10 is the exponential form of log3 (10)
- 3 is the logarithm base of log3 (10)
- 10 is the argument of log3 (10)
- 2.0959032743 is the exponent or power of 32.0959032743 = 10
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FAQs
What is the value of log3 10?
Log3 (10) = 2.0959032743.
How do you find the value of log310?
Carry out the change of base logarithm operation.
What does log3 10 mean?
It means the logarithm of 10 with base 3.
How do you solve log base 3 10?
Apply the change of base rule, substitute the variables, and evaluate the term.
What is the log base 3 of 10?
The value is 2.0959032743.
How do you write log3 10 in exponential form?
In exponential form is 32.0959032743 = 10.
What is log3 (10) equal to?
log base 3 of 10 = 2.0959032743.
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 base 3 of 10 = 2.0959032743.You now know everything about the logarithm with base 3, argument 10 and exponent 2.0959032743.
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.
If you have not already done so, please hit the share buttons, and install our PWA app (see menu or sidebar).Thanks for visiting Log3 (10).
Table
Our quick conversion table is easy to use:| log3(x) | Value | |
|---|---|---|
| log3(9.5) | = | 2.0492141057 |
| log3(9.51) | = | 2.0501717483 |
| log3(9.52) | = | 2.0511283845 |
| log3(9.53) | = | 2.0520840163 |
| log3(9.54) | = | 2.0530386459 |
| log3(9.55) | = | 2.0539922753 |
| log3(9.56) | = | 2.0549449067 |
| log3(9.57) | = | 2.0558965422 |
| log3(9.58) | = | 2.0568471838 |
| log3(9.59) | = | 2.0577968335 |
| log3(9.6) | = | 2.0587454936 |
| log3(9.61) | = | 2.0596931659 |
| log3(9.62) | = | 2.0606398527 |
| log3(9.63) | = | 2.0615855559 |
| log3(9.64) | = | 2.0625302775 |
| log3(9.65) | = | 2.0634740197 |
| log3(9.66) | = | 2.0644167844 |
| log3(9.67) | = | 2.0653585736 |
| log3(9.68) | = | 2.0662993894 |
| log3(9.69) | = | 2.0672392338 |
| log3(9.7) | = | 2.0681781088 |
| log3(9.71) | = | 2.0691160164 |
| log3(9.72) | = | 2.0700529586 |
| log3(9.73) | = | 2.0709889373 |
| log3(9.74) | = | 2.0719239545 |
| log3(9.75) | = | 2.0728580123 |
| log3(9.76) | = | 2.0737911126 |
| log3(9.77) | = | 2.0747232573 |
| log3(9.78) | = | 2.0756544484 |
| log3(9.79) | = | 2.0765846879 |
| log3(9.8) | = | 2.0775139776 |
| log3(9.81) | = | 2.0784423196 |
| log3(9.82) | = | 2.0793697157 |
| log3(9.83) | = | 2.0802961679 |
| log3(9.84) | = | 2.0812216782 |
| log3(9.85) | = | 2.0821462483 |
| log3(9.86) | = | 2.0830698803 |
| log3(9.87) | = | 2.083992576 |
| log3(9.88) | = | 2.0849143373 |
| log3(9.89) | = | 2.0858351661 |
| log3(9.9) | = | 2.0867550644 |
| log3(9.91) | = | 2.0876740339 |
| log3(9.92) | = | 2.0885920765 |
| log3(9.93) | = | 2.0895091942 |
| log3(9.94) | = | 2.0904253888 |
| log3(9.95) | = | 2.0913406621 |
| log3(9.96) | = | 2.092255016 |
| log3(9.97) | = | 2.0931684523 |
| log3(9.98) | = | 2.0940809729 |
| log3(9.99) | = | 2.0949925796 |
| log3(10) | = | 2.0959032743 |
| log3(10.01) | = | 2.0968130587 |
| log3(10.02) | = | 2.0977219347 |
| log3(10.03) | = | 2.0986299041 |
| log3(10.04) | = | 2.0995369686 |
| log3(10.05) | = | 2.1004431302 |
| log3(10.06) | = | 2.1013483906 |
| log3(10.07) | = | 2.1022527515 |
| log3(10.08) | = | 2.1031562149 |
| log3(10.09) | = | 2.1040587823 |
| log3(10.1) | = | 2.1049604557 |
| log3(10.11) | = | 2.1058612368 |
| log3(10.12) | = | 2.1067611274 |
| log3(10.13) | = | 2.1076601292 |
| log3(10.14) | = | 2.1085582439 |
| log3(10.15) | = | 2.1094554734 |
| log3(10.16) | = | 2.1103518193 |
| log3(10.17) | = | 2.1112472835 |
| log3(10.18) | = | 2.1121418676 |
| log3(10.19) | = | 2.1130355733 |
| log3(10.2) | = | 2.1139284024 |
| log3(10.21) | = | 2.1148203567 |
| log3(10.22) | = | 2.1157114377 |
| log3(10.23) | = | 2.1166016473 |
| log3(10.24) | = | 2.1174909871 |
| log3(10.25) | = | 2.1183794589 |
| log3(10.26) | = | 2.1192670642 |
| log3(10.27) | = | 2.1201538049 |
| log3(10.28) | = | 2.1210396826 |
| log3(10.29) | = | 2.1219246989 |
| log3(10.3) | = | 2.1228088556 |
| log3(10.31) | = | 2.1236921543 |
| log3(10.32) | = | 2.1245745966 |
| log3(10.33) | = | 2.1254561843 |
| log3(10.34) | = | 2.126336919 |
| log3(10.35) | = | 2.1272168023 |
| log3(10.36) | = | 2.1280958359 |
| log3(10.37) | = | 2.1289740215 |
| log3(10.38) | = | 2.1298513606 |
| log3(10.39) | = | 2.1307278548 |
| log3(10.4) | = | 2.1316035059 |
| log3(10.41) | = | 2.1324783154 |
| log3(10.42) | = | 2.133352285 |
| log3(10.43) | = | 2.1342254162 |
| log3(10.44) | = | 2.1350977107 |
| log3(10.45) | = | 2.13596917 |
| log3(10.46) | = | 2.1368397959 |
| log3(10.47) | = | 2.1377095897 |
| log3(10.48) | = | 2.1385785533 |
| log3(10.49) | = | 2.139446688 |
| log3(10.5) | = | 2.1403139956 |