Home » Logarithms of 3 » Log3 (10)

# Log3 (10)

Log3 (10) is the logarithm of 10 to the base 3:

## Calculator

log

Result:
As you can see in our log calculator, log3 (10) = 2.0959032743.

## Calculate Log Base 3 of 10

To solve the equation log3 (10) = x carry out the following steps.
1. Apply the change of base rule:
loga (x) = logb (x) / logb (a)
With b = 10:
loga (x) = log(x) / log(a)
2. Substitute the variables:
With x = 10, a = 3:
log3 (10) = log(10) / log(3)
3. Evaluate the term:
log(10) / log(3)
= 1 / 0.477121254719662
= 2.0959032743
= Logarithm of 10 with base 3
Here’s the logarithm of 3 to the base 10.

• 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
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

## 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.

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## 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