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# Log 3 (9)

Log 3 (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 log 3 (9) = x carry out the following steps.
1. Apply the change of base rule:
log a (x) = log b (x) / log b (a)
With b = 10:
log a (x) = log(x) / log(a)
2. Substitute the variables:
With x = 9, a = 3:
log 3 (9) = log(9) / log(3)
3. Evaluate the term:
log(9) / log(3)
= 1.39794000867204 / 1.92427928606188
= 2
= Logarithm of 9 with base 3
Here’s the logarithm of 3 to the base 9.

• From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 2 = 9
• 3 2 = 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 3 2 = 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 log 39?

Carry out the change of base logarithm operation.

### What does log 3 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 log 3 9 in exponential form?

In exponential form is 3 2 = 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.
Thanks for visiting Log3 (9).

## Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(8.5)=1.9479721695911
log 3(8.51)=1.9490424098398
log 3(8.52)=1.9501113932
log 3(8.53)=1.9511791226205
log 3(8.54)=1.9522456010397
log 3(8.55)=1.9533108313855
log 3(8.56)=1.9543748165758
log 3(8.57)=1.955437559518
log 3(8.58)=1.9564990631096
log 3(8.59)=1.9575593302378
log 3(8.6)=1.9586183637798
log 3(8.61)=1.9596761666026
log 3(8.62)=1.9607327415635
log 3(8.63)=1.9617880915097
log 3(8.64)=1.9628422192785
log 3(8.65)=1.9638951276974
log 3(8.66)=1.964946819584
log 3(8.67)=1.9659972977464
log 3(8.68)=1.9670465649826
log 3(8.69)=1.9680946240812
log 3(8.7)=1.9691414778213
log 3(8.71)=1.970187128972
log 3(8.72)=1.9712315802933
log 3(8.73)=1.9722748345355
log 3(8.74)=1.9733168944393
log 3(8.75)=1.9743577627364
log 3(8.76)=1.9753974421489
log 3(8.77)=1.9764359353894
log 3(8.78)=1.9774732451617
log 3(8.79)=1.9785093741599
log 3(8.8)=1.9795443250691
log 3(8.81)=1.9805781005654
log 3(8.82)=1.9816107033155
log 3(8.83)=1.9826421359773
log 3(8.84)=1.9836724011995
log 3(8.85)=1.9847015016219
log 3(8.86)=1.9857294398752
log 3(8.87)=1.9867562185816
log 3(8.88)=1.9877818403539
log 3(8.89)=1.9888063077964
log 3(8.9)=1.9898296235047
log 3(8.91)=1.9908517900654
log 3(8.92)=1.9918728100565
log 3(8.93)=1.9928926860473
log 3(8.94)=1.9939114205987
log 3(8.95)=1.9949290162627
log 3(8.96)=1.9959454755829
log 3(8.97)=1.9969608010943
log 3(8.98)=1.9979749953236
log 3(8.99)=1.9989880607889
log 3(9)=2
log 3(9.01)=2.0010108154583
log 3(9.02)=2.0020205096568
log 3(9.03)=2.0030290850803
log 3(9.04)=2.0040365442055
log 3(9.05)=2.0050428895005
log 3(9.06)=2.0060481234255
log 3(9.07)=2.0070522484326
log 3(9.08)=2.0080552669657
log 3(9.09)=2.0090571814605
log 3(9.1)=2.0100579943448
log 3(9.11)=2.0110577080385
log 3(9.12)=2.0120563249534
log 3(9.13)=2.0130538474934
log 3(9.14)=2.0140502780545
log 3(9.15)=2.0150456190247
log 3(9.16)=2.0160398727846
log 3(9.17)=2.0170330417065
log 3(9.18)=2.0180251281553
log 3(9.19)=2.0190161344879
log 3(9.2)=2.0200060630538
log 3(9.21)=2.0209949161946
log 3(9.22)=2.0219826962445
log 3(9.23)=2.0229694055299
log 3(9.24)=2.0239550463697
log 3(9.25)=2.0249396210754
log 3(9.26)=2.0259231319508
log 3(9.27)=2.0269055812924
log 3(9.28)=2.0278869713892
log 3(9.29)=2.0288673045228
log 3(9.3)=2.0298465829676
log 3(9.31)=2.0308248089904
log 3(9.32)=2.0318019848509
log 3(9.33)=2.0327781128015
log 3(9.34)=2.0337531950871
log 3(9.35)=2.0347272339459
log 3(9.36)=2.0357002316084
log 3(9.37)=2.0366721902983
log 3(9.38)=2.0376431122321
log 3(9.39)=2.0386129996192
log 3(9.4)=2.0395818546618
log 3(9.41)=2.0405496795554
log 3(9.42)=2.0415164764881
log 3(9.43)=2.0424822476415
log 3(9.44)=2.0434469951898
log 3(9.45)=2.0444107213006
log 3(9.46)=2.0453734281345
log 3(9.47)=2.0463351178453
log 3(9.48)=2.04729579258
log 3(9.49)=2.0482554544787
log 3(9.5)=2.0492141056749
log 3(9.51)=2.0501717482952

## Base 2 Logarithm Quiz

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