Log66(5) ▷ What is Log Base 66 of 5?

Q: How do you write log 66 5 in exponential form?

In exponential form is 66 0.38414571403458 = 5.

Table of Contents

Log ₆₆ (5) is the logarithm of 5 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 (5) = 0.38414571403458.

Calculate Log Base 66 of 5

To solve the equation log ₆₆ (5) = 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 = 5, a = 66:
log ₆₆ (5) = log(5) / log(66)
Evaluate the term:
log(5) / log(66)
= 1.39794000867204 / 1.92427928606188
= 0.38414571403458
= Logarithm of 5 with base 66

Here’s the logarithm of 66 to the base 5.

Additional Information

From the definition of logarithm b ^y = x ⇔ y = log _b(x) follows that 66 ^{0.38414571403458} = 5
66 ^{0.38414571403458} = 5 is the exponential form of log66 (5)
66 is the logarithm base of log66 (5)
5 is the argument of log66 (5)
0.38414571403458 is the exponent or power of 66 ^{0.38414571403458} = 5

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 5?

Log66 (5) = 0.38414571403458.

How do you find the value of log ₆₆5?

Carry out the change of base logarithm operation.

What does log ₆₆ 5 mean?

It means the logarithm of 5 with base 66.

How do you solve log base 66 5?

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

What is the log base 66 of 5?

The value is 0.38414571403458.

How do you write log ₆₆ 5 in exponential form?

In exponential form is 66 ^{0.38414571403458} = 5.

What is log66 (5) equal to?

log base 66 of 5 = 0.38414571403458.

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 5 = 0.38414571403458.

You now know everything about the logarithm with base 66, argument 5 and exponent 0.38414571403458.
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 (5).

Table

Our quick conversion table is easy to use:

log ₆₆(x)		Value
log ₆₆(4.5)	=	0.35899793405143
log ₆₆(4.51)	=	0.35952775258661
log ₆₆(4.52)	=	0.36005639765784
log ₆₆(4.53)	=	0.36058387445173
log ₆₆(4.54)	=	0.36111018812054
log ₆₆(4.55)	=	0.36163534378254
log ₆₆(4.56)	=	0.36215934652229
log ₆₆(4.57)	=	0.36268220139093
log ₆₆(4.58)	=	0.3632039134065
log ₆₆(4.59)	=	0.36372448755417
log ₆₆(4.6)	=	0.36424392878658
log ₆₆(4.61)	=	0.36476224202412
log ₆₆(4.62)	=	0.36527943215517
log ₆₆(4.63)	=	0.36579550403642
log ₆₆(4.64)	=	0.36631046249311
log ₆₆(4.65)	=	0.36682431231933
log ₆₆(4.66)	=	0.36733705827826
log ₆₆(4.67)	=	0.36784870510246
log ₆₆(4.68)	=	0.36835925749412
log ₆₆(4.69)	=	0.3688687201253
log ₆₆(4.7)	=	0.36937709763824
log ₆₆(4.71)	=	0.36988439464556
log ₆₆(4.72)	=	0.37039061573052
log ₆₆(4.73)	=	0.37089576544731
log ₆₆(4.74)	=	0.37139984832124
log ₆₆(4.75)	=	0.37190286884902
log ₆₆(4.76)	=	0.372404831499
log ₆₆(4.77)	=	0.37290574071137
log ₆₆(4.78)	=	0.37340560089844
log ₆₆(4.79)	=	0.37390441644486
log ₆₆(4.8)	=	0.37440219170784
log ₆₆(4.81)	=	0.3748989310174
log ₆₆(4.82)	=	0.37539463867655
log ₆₆(4.83)	=	0.37588931896158
log ₆₆(4.84)	=	0.37638297612223
log ₆₆(4.85)	=	0.37687561438193
log ₆₆(4.86)	=	0.37736723793801
log ₆₆(4.87)	=	0.37785785096191
log ₆₆(4.88)	=	0.37834745759942
log ₆₆(4.89)	=	0.37883606197085
log ₆₆(4.9)	=	0.37932366817126
log ₆₆(4.91)	=	0.37981028027068
log ₆₆(4.92)	=	0.38029590231427
log ₆₆(4.93)	=	0.38078053832259
log ₆₆(4.94)	=	0.38126419229171
log ₆₆(4.95)	=	0.38174686819349
log ₆₆(4.96)	=	0.38222856997574
log ₆₆(4.97)	=	0.3827093015624
log ₆₆(4.98)	=	0.38318906685377
log ₆₆(4.99)	=	0.38366786972665
log ₆₆(5)	=	0.38414571403458
log ₆₆(5.01)	=	0.38462260360799
log ₆₆(5.02)	=	0.38509854225441
log ₆₆(5.03)	=	0.38557353375861
log ₆₆(5.04)	=	0.38604758188284
log ₆₆(5.05)	=	0.38652069036696
log ₆₆(5.06)	=	0.38699286292864
log ₆₆(5.07)	=	0.38746410326354
log ₆₆(5.08)	=	0.38793441504544
log ₆₆(5.09)	=	0.38840380192649
log ₆₆(5.1)	=	0.38887226753731
log ₆₆(5.11)	=	0.38933981548719
log ₆₆(5.12)	=	0.38980644936425
log ₆₆(5.13)	=	0.3902721727356
log ₆₆(5.14)	=	0.39073698914753
log ₆₆(5.15)	=	0.39120090212563
log ₆₆(5.16)	=	0.39166391517497
log ₆₆(5.17)	=	0.3921260317803
log ₆₆(5.18)	=	0.39258725540612
log ₆₆(5.19)	=	0.39304758949691
log ₆₆(5.2)	=	0.39350703747726
log ₆₆(5.21)	=	0.39396560275201
log ₆₆(5.22)	=	0.39442328870643
log ₆₆(5.23)	=	0.39488009870633
log ₆₆(5.24)	=	0.39533603609825
log ₆₆(5.25)	=	0.39579110420958
log ₆₆(5.26)	=	0.39624530634872
log ₆₆(5.27)	=	0.39669864580521
log ₆₆(5.28)	=	0.3971511258499
log ₆₆(5.29)	=	0.39760274973505
log ₆₆(5.3)	=	0.39805352069451
log ₆₆(5.31)	=	0.39850344194384
log ₆₆(5.32)	=	0.39895251668043
log ₆₆(5.33)	=	0.39940074808369
log ₆₆(5.34)	=	0.39984813931514
log ₆₆(5.35)	=	0.40029469351853
log ₆₆(5.36)	=	0.40074041382003
log ₆₆(5.37)	=	0.40118530332831
log ₆₆(5.38)	=	0.40162936513471
log ₆₆(5.39)	=	0.40207260231332
log ₆₆(5.4)	=	0.40251501792116
log ₆₆(5.41)	=	0.40295661499826
log ₆₆(5.42)	=	0.40339739656784
log ₆₆(5.43)	=	0.40383736563636
log ₆₆(5.44)	=	0.40427652519372
log ₆₆(5.45)	=	0.40471487821334
log ₆₆(5.46)	=	0.40515242765226
log ₆₆(5.47)	=	0.40558917645132
log ₆₆(5.48)	=	0.40602512753524
log ₆₆(5.49)	=	0.40646028381274
log ₆₆(5.5)	=	0.40689464817664
log ₆₆(5.51)	=	0.40732822350402

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Log 66 (5)