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# Log9 (3)

Log9 (3) is the logarithm of 3 to the base 9:

## Calculator

log

Result:
As you can see in our log calculator, log9 (3) = 0.5.

## Calculate Log Base 9 of 3

To solve the equation log9 (3) = 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 = 3, a = 9:
log9 (3) = log(3) / log(9)
3. Evaluate the term:
log(3) / log(9)
= 0.477121254719662 / 0.954242509439325
= 0.5
= Logarithm of 3 with base 9
Here’s the logarithm of 9 to the base 3.

• From the definition of logarithm by = x ⇔ y = logb(x) follows that 90.5 = 3
• 90.5 = 3 is the exponential form of log9 (3)
• 9 is the logarithm base of log9 (3)
• 3 is the argument of log9 (3)
• 0.5 is the exponent or power of 90.5 = 3
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

## FAQs

Log9 (3) = 0.5.

### How do you find the value of log93?

Carry out the change of base logarithm operation.

### What does log9 3 mean?

It means the logarithm of 3 with base 9.

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

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

### What is the log base 9 of 3?

The value is 0.5.

### How do you write log9 3 in exponential form?

In exponential form is 90.5 = 3.

### What is log9 (3) equal to?

log base 9 of 3 = 0.5.

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 9 of 3 = 0.5.

You now know everything about the logarithm with base 9, argument 3 and exponent 0.5.
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:
log9(x)Value
log9(2.5)=0.4170218836
log9(2.51)=0.4188387307
log9(2.52)=0.4206483539
log9(2.53)=0.4224508101
log9(2.54)=0.4242461561
log9(2.55)=0.4260344477
log9(2.56)=0.42781574
log9(2.57)=0.4295900877
log9(2.58)=0.4313575447
log9(2.59)=0.4331181644
log9(2.6)=0.4348719994
log9(2.61)=0.4366191018
log9(2.62)=0.4383595231
log9(2.63)=0.4400933142
log9(2.64)=0.4418205254
log9(2.65)=0.4435412065
log9(2.66)=0.4452554067
log9(2.67)=0.4469631746
log9(2.68)=0.4486645583
log9(2.69)=0.4503596054
log9(2.7)=0.4520483629
log9(2.71)=0.4537308772
log9(2.72)=0.4554071944
log9(2.73)=0.45707736
log9(2.74)=0.458741419
log9(2.75)=0.4603994158
log9(2.76)=0.4620513944
log9(2.77)=0.4636973984
log9(2.78)=0.4653374708
log9(2.79)=0.4669716543
log9(2.8)=0.468599991
log9(2.81)=0.4702225225
log9(2.82)=0.4718392902
log9(2.83)=0.4734503347
log9(2.84)=0.4750556966
log9(2.85)=0.4766554157
log9(2.86)=0.4782495316
log9(2.87)=0.4798380833
log9(2.88)=0.4814211096
log9(2.89)=0.4829986489
log9(2.9)=0.4845707389
log9(2.91)=0.4861374173
log9(2.92)=0.4876987211
log9(2.93)=0.4892546871
log9(2.94)=0.4908053517
log9(2.95)=0.4923507508
log9(2.96)=0.4938909202
log9(2.97)=0.495425895
log9(2.98)=0.4969557103
log9(2.99)=0.4984804005
log9(3)=0.5
log9(3.01)=0.5015145425
log9(3.02)=0.5030240617
log9(3.03)=0.5045285907
log9(3.04)=0.5060281625
log9(3.05)=0.5075228095
log9(3.06)=0.5090125641
log9(3.07)=0.5104974581
log9(3.08)=0.5119775232
log9(3.09)=0.5134527906
log9(3.1)=0.5149232915
log9(3.11)=0.5163890564
log9(3.12)=0.5178501158
log9(3.13)=0.5193064998
log9(3.14)=0.5207582382
log9(3.15)=0.5222053607
log9(3.16)=0.5236478963
log9(3.17)=0.5250858741
log9(3.18)=0.5265193229
log9(3.19)=0.5279482711
log9(3.2)=0.5293727468
log9(3.21)=0.5307927779
log9(3.22)=0.5322083922
log9(3.23)=0.5336196169
log9(3.24)=0.5350264793
log9(3.25)=0.5364290062
log9(3.26)=0.5378272242
log9(3.27)=0.5392211598
log9(3.28)=0.5406108391
log9(3.29)=0.541996288
log9(3.3)=0.5433775322
log9(3.31)=0.5447545971
log9(3.32)=0.546127508
log9(3.33)=0.5474962898
log9(3.34)=0.5488609673
log9(3.35)=0.5502215651
log9(3.36)=0.5515781074
log9(3.37)=0.5529306184
log9(3.38)=0.554279122
log9(3.39)=0.5556236417
log9(3.4)=0.5569642012
log9(3.41)=0.5583008237
log9(3.42)=0.5596335321
log9(3.43)=0.5609623495
log9(3.44)=0.5622872983
log9(3.45)=0.5636084012
log9(3.46)=0.5649256803
log9(3.47)=0.5662391577
log9(3.48)=0.5675488553
log9(3.49)=0.5688547949
log9(3.5)=0.5701569978