Home » Logarithms of 3 » Log3 (9)

# Log3 (9)

Log3 (9) is the logarithm of 9 to the base 3:

## Calculator

log

Result:
As you can see in our log calculator, log3 (9) = 2.

## Calculate Log Base 3 of 9

To solve the equation log3 (9) = 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 = 9, a = 3:
log3 (9) = log(9) / log(3)
3. Evaluate the term:
log(9) / log(3)
= 0.954242509439325 / 0.477121254719662
= 2
= Logarithm of 9 with base 3
Here’s the logarithm of 3 to the base 9.

• From the definition of logarithm by = x ⇔ y = logb(x) follows that 32 = 9
• 32 = 9 is the exponential form of log3 (9)
• 3 is the logarithm base of log3 (9)
• 9 is the argument of log3 (9)
• 2 is the exponent or power of 32 = 9
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

## FAQs

Log3 (9) = 2.

### How do you find the value of log39?

Carry out the change of base logarithm operation.

### What does log3 9 mean?

It means the logarithm of 9 with base 3.

### How do you solve log base 3 9?

Apply the change of base rule, substitute the variables, and evaluate the term.

The value is 2.

### How do you write log3 9 in exponential form?

In exponential form is 32 = 9.

### What is log3 (9) equal to?

log base 3 of 9 = 2.

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 9 = 2.

You now know everything about the logarithm with base 3, argument 9 and exponent 2.
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(8.5)=1.9479721696
log3(8.51)=1.9490424098
log3(8.52)=1.9501113932
log3(8.53)=1.9511791226
log3(8.54)=1.952245601
log3(8.55)=1.9533108314
log3(8.56)=1.9543748166
log3(8.57)=1.9554375595
log3(8.58)=1.9564990631
log3(8.59)=1.9575593302
log3(8.6)=1.9586183638
log3(8.61)=1.9596761666
log3(8.62)=1.9607327416
log3(8.63)=1.9617880915
log3(8.64)=1.9628422193
log3(8.65)=1.9638951277
log3(8.66)=1.9649468196
log3(8.67)=1.9659972977
log3(8.68)=1.967046565
log3(8.69)=1.9680946241
log3(8.7)=1.9691414778
log3(8.71)=1.970187129
log3(8.72)=1.9712315803
log3(8.73)=1.9722748345
log3(8.74)=1.9733168944
log3(8.75)=1.9743577627
log3(8.76)=1.9753974421
log3(8.77)=1.9764359354
log3(8.78)=1.9774732452
log3(8.79)=1.9785093742
log3(8.8)=1.9795443251
log3(8.81)=1.9805781006
log3(8.82)=1.9816107033
log3(8.83)=1.982642136
log3(8.84)=1.9836724012
log3(8.85)=1.9847015016
log3(8.86)=1.9857294399
log3(8.87)=1.9867562186
log3(8.88)=1.9877818404
log3(8.89)=1.9888063078
log3(8.9)=1.9898296235
log3(8.91)=1.9908517901
log3(8.92)=1.9918728101
log3(8.93)=1.992892686
log3(8.94)=1.9939114206
log3(8.95)=1.9949290163
log3(8.96)=1.9959454756
log3(8.97)=1.9969608011
log3(8.98)=1.9979749953
log3(8.99)=1.9989880608
log3(9)=2
log3(9.01)=2.0010108155
log3(9.02)=2.0020205097
log3(9.03)=2.0030290851
log3(9.04)=2.0040365442
log3(9.05)=2.0050428895
log3(9.06)=2.0060481234
log3(9.07)=2.0070522484
log3(9.08)=2.008055267
log3(9.09)=2.0090571815
log3(9.1)=2.0100579943
log3(9.11)=2.011057708
log3(9.12)=2.012056325
log3(9.13)=2.0130538475
log3(9.14)=2.0140502781
log3(9.15)=2.015045619
log3(9.16)=2.0160398728
log3(9.17)=2.0170330417
log3(9.18)=2.0180251282
log3(9.19)=2.0190161345
log3(9.2)=2.0200060631
log3(9.21)=2.0209949162
log3(9.22)=2.0219826962
log3(9.23)=2.0229694055
log3(9.24)=2.0239550464
log3(9.25)=2.0249396211
log3(9.26)=2.025923132
log3(9.27)=2.0269055813
log3(9.28)=2.0278869714
log3(9.29)=2.0288673045
log3(9.3)=2.029846583
log3(9.31)=2.030824809
log3(9.32)=2.0318019849
log3(9.33)=2.0327781128
log3(9.34)=2.0337531951
log3(9.35)=2.0347272339
log3(9.36)=2.0357002316
log3(9.37)=2.0366721903
log3(9.38)=2.0376431122
log3(9.39)=2.0386129996
log3(9.4)=2.0395818547
log3(9.41)=2.0405496796
log3(9.42)=2.0415164765
log3(9.43)=2.0424822476
log3(9.44)=2.0434469952
log3(9.45)=2.0444107213
log3(9.46)=2.0453734281
log3(9.47)=2.0463351178
log3(9.48)=2.0472957926
log3(9.49)=2.0482554545
log3(9.5)=2.0492141057