Log66(33) ▷ What is Log Base 66 of 33?

Q: How do you write log 66 33 in exponential form?

In exponential form is 66 0.83455744608094 = 33.

Table of Contents

Log ₆₆ (33) is the logarithm of 33 to the base 66:

Calculator

×log

Base 1

Exponent 1

Result: Result

Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log66 (33) = 0.83455744608094.

Calculate Log Base 66 of 33

To solve the equation log ₆₆ (33) = x carry out the following steps.

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)
Substitute the variables:
With x = 33, a = 66:
log ₆₆ (33) = log(33) / log(66)
Evaluate the term:
log(33) / log(66)
= 1.39794000867204 / 1.92427928606188
= 0.83455744608094
= Logarithm of 33 with base 66

Here’s the logarithm of 66 to the base 33.

Additional Information

From the definition of logarithm b ^y = x ⇔ y = log _b(x) follows that 66 ^{0.83455744608094} = 33
66 ^{0.83455744608094} = 33 is the exponential form of log66 (33)
66 is the logarithm base of log66 (33)
33 is the argument of log66 (33)
0.83455744608094 is the exponent or power of 66 ^{0.83455744608094} = 33

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

Frequently searched terms on our site include:

FAQs

What is the value of log66 33?

Log66 (33) = 0.83455744608094.

How do you find the value of log ₆₆33?

Carry out the change of base logarithm operation.

What does log ₆₆ 33 mean?

It means the logarithm of 33 with base 66.

How do you solve log base 66 33?

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

What is the log base 66 of 33?

The value is 0.83455744608094.

How do you write log ₆₆ 33 in exponential form?

In exponential form is 66 ^{0.83455744608094} = 33.

What is log66 (33) equal to?

log base 66 of 33 = 0.83455744608094.

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 66 of 33 = 0.83455744608094.

You now know everything about the logarithm with base 66, argument 33 and exponent 0.83455744608094.
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 Log66 (33).

Table

Our quick conversion table is easy to use:

log ₆₆(x)		Value
log ₆₆(32.5)	=	0.8309133577083
log ₆₆(32.51)	=	0.83098678738188
log ₆₆(32.52)	=	0.83106019447214
log ₆₆(32.53)	=	0.83113357899296
log ₆₆(32.54)	=	0.83120694095822
log ₆₆(32.55)	=	0.83128028038178
log ₆₆(32.56)	=	0.83135359727748
log ₆₆(32.57)	=	0.83142689165917
log ₆₆(32.58)	=	0.83150016354067
log ₆₆(32.59)	=	0.83157341293578
log ₆₆(32.6)	=	0.8316466398583
log ₆₆(32.61)	=	0.83171984432202
log ₆₆(32.62)	=	0.83179302634071
log ₆₆(32.63)	=	0.83186618592813
log ₆₆(32.64)	=	0.83193932309803
log ₆₆(32.65)	=	0.83201243786413
log ₆₆(32.66)	=	0.83208553024017
log ₆₆(32.67)	=	0.83215860023985
log ₆₆(32.68)	=	0.83223164787687
log ₆₆(32.69)	=	0.83230467316491
log ₆₆(32.7)	=	0.83237767611764
log ₆₆(32.71)	=	0.83245065674872
log ₆₆(32.72)	=	0.8325236150718
log ₆₆(32.73)	=	0.83259655110051
log ₆₆(32.74)	=	0.83266946484847
log ₆₆(32.75)	=	0.83274235632929
log ₆₆(32.76)	=	0.83281522555656
log ₆₆(32.77)	=	0.83288807254388
log ₆₆(32.78)	=	0.83296089730481
log ₆₆(32.79)	=	0.83303369985291
log ₆₆(32.8)	=	0.83310648020172
log ₆₆(32.81)	=	0.83317923836479
log ₆₆(32.82)	=	0.83325197435563
log ₆₆(32.83)	=	0.83332468818775
log ₆₆(32.84)	=	0.83339737987465
log ₆₆(32.85)	=	0.83347004942981
log ₆₆(32.86)	=	0.83354269686671
log ₆₆(32.87)	=	0.83361532219881
log ₆₆(32.88)	=	0.83368792543955
log ₆₆(32.89)	=	0.83376050660237
log ₆₆(32.9)	=	0.83383306570069
log ₆₆(32.91)	=	0.83390560274792
log ₆₆(32.92)	=	0.83397811775747
log ₆₆(32.93)	=	0.83405061074272
log ₆₆(32.94)	=	0.83412308171704
log ₆₆(32.95)	=	0.8341955306938
log ₆₆(32.96)	=	0.83426795768634
log ₆₆(32.97)	=	0.834340362708
log ₆₆(32.98)	=	0.83441274577212
log ₆₆(32.99)	=	0.834485106892
log ₆₆(33)	=	0.83455744608094
log ₆₆(33.01)	=	0.83462976335224
log ₆₆(33.02)	=	0.83470205871917
log ₆₆(33.03)	=	0.83477433219499
log ₆₆(33.04)	=	0.83484658379297
log ₆₆(33.05)	=	0.83491881352634
log ₆₆(33.06)	=	0.83499102140832
log ₆₆(33.07)	=	0.83506320745215
log ₆₆(33.08)	=	0.83513537167102
log ₆₆(33.09)	=	0.83520751407812
log ₆₆(33.1)	=	0.83527963468665
log ₆₆(33.11)	=	0.83535173350976
log ₆₆(33.12)	=	0.83542381056061
log ₆₆(33.13)	=	0.83549586585236
log ₆₆(33.14)	=	0.83556789939812
log ₆₆(33.15)	=	0.83563991121104
log ₆₆(33.16)	=	0.83571190130421
log ₆₆(33.17)	=	0.83578386969073
log ₆₆(33.18)	=	0.83585581638369
log ₆₆(33.19)	=	0.83592774139616
log ₆₆(33.2)	=	0.83599964474122
log ₆₆(33.21)	=	0.83607152643189
log ₆₆(33.22)	=	0.83614338648124
log ₆₆(33.23)	=	0.83621522490227
log ₆₆(33.24)	=	0.83628704170802
log ₆₆(33.25)	=	0.83635883691147
log ₆₆(33.26)	=	0.83643061052563
log ₆₆(33.27)	=	0.83650236256348
log ₆₆(33.28)	=	0.83657409303797
log ₆₆(33.29)	=	0.83664580196208
log ₆₆(33.3)	=	0.83671748934874
log ₆₆(33.31)	=	0.83678915521089
log ₆₆(33.32)	=	0.83686079956145
log ₆₆(33.33)	=	0.83693242241332
log ₆₆(33.34)	=	0.83700402377942
log ₆₆(33.35)	=	0.83707560367262
log ₆₆(33.36)	=	0.8371471621058
log ₆₆(33.37)	=	0.83721869909183
log ₆₆(33.38)	=	0.83729021464355
log ₆₆(33.39)	=	0.83736170877381
log ₆₆(33.4)	=	0.83743318149544
log ₆₆(33.41)	=	0.83750463282125
log ₆₆(33.42)	=	0.83757606276405
log ₆₆(33.43)	=	0.83764747133664
log ₆₆(33.44)	=	0.8377188585518
log ₆₆(33.45)	=	0.83779022442229
log ₆₆(33.46)	=	0.83786156896088
log ₆₆(33.47)	=	0.83793289218033
log ₆₆(33.48)	=	0.83800419409336
log ₆₆(33.49)	=	0.8380754747127
log ₆₆(33.5)	=	0.83814673405107
log ₆₆(33.51)	=	0.83821797212117

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Log 66 (33)