Log5(42) ▷ What is Log Base 5 of 42?

Q: How do you write log 5 42 in exponential form?

In exponential form is 5 2.3223447076815 = 42.

Table of Contents

Log ₅ (42) is the logarithm of 42 to the base 5:

Calculator

×log

Base 1

Exponent 1

Result: Result

Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log5 (42) = 2.3223447076815.

Calculate Log Base 5 of 42

To solve the equation log ₅ (42) = 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 = 42, a = 5:
log ₅ (42) = log(42) / log(5)
Evaluate the term:
log(42) / log(5)
= 1.39794000867204 / 1.92427928606188
= 2.3223447076815
= Logarithm of 42 with base 5

Here’s the logarithm of 5 to the base 42.

Additional Information

From the definition of logarithm b ^y = x ⇔ y = log _b(x) follows that 5 ^{2.3223447076815} = 42
5 ^{2.3223447076815} = 42 is the exponential form of log5 (42)
5 is the logarithm base of log5 (42)
42 is the argument of log5 (42)
2.3223447076815 is the exponent or power of 5 ^{2.3223447076815} = 42

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

Frequently searched terms on our site include:

FAQs

What is the value of log5 42?

Log5 (42) = 2.3223447076815.

How do you find the value of log ₅42?

Carry out the change of base logarithm operation.

What does log ₅ 42 mean?

It means the logarithm of 42 with base 5.

How do you solve log base 5 42?

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

What is the log base 5 of 42?

The value is 2.3223447076815.

How do you write log ₅ 42 in exponential form?

In exponential form is 5 ^{2.3223447076815} = 42.

What is log5 (42) equal to?

log base 5 of 42 = 2.3223447076815.

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 5 of 42 = 2.3223447076815.

You now know everything about the logarithm with base 5, argument 42 and exponent 2.3223447076815.
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 Log5 (42).

Table

Our quick conversion table is easy to use:

log ₅(x)		Value
log ₅(41.5)	=	2.3149034818013
log ₅(41.51)	=	2.315053183027
log ₅(41.52)	=	2.3152028481933
log ₅(41.53)	=	2.3153524773173
log ₅(41.54)	=	2.3155020704165
log ₅(41.55)	=	2.3156516275082
log ₅(41.56)	=	2.3158011486098
log ₅(41.57)	=	2.3159506337385
log ₅(41.58)	=	2.3161000829117
log ₅(41.59)	=	2.3162494961467
log ₅(41.6)	=	2.3163988734607
log ₅(41.61)	=	2.316548214871
log ₅(41.62)	=	2.3166975203948
log ₅(41.63)	=	2.3168467900495
log ₅(41.64)	=	2.3169960238522
log ₅(41.65)	=	2.3171452218201
log ₅(41.66)	=	2.3172943839705
log ₅(41.67)	=	2.3174435103206
log ₅(41.68)	=	2.3175926008875
log ₅(41.69)	=	2.3177416556884
log ₅(41.7)	=	2.3178906747405
log ₅(41.71)	=	2.3180396580608
log ₅(41.72)	=	2.3181886056666
log ₅(41.73)	=	2.3183375175749
log ₅(41.74)	=	2.3184863938029
log ₅(41.75)	=	2.3186352343677
log ₅(41.76)	=	2.3187840392863
log ₅(41.77)	=	2.3189328085757
log ₅(41.78)	=	2.3190815422532
log ₅(41.79)	=	2.3192302403356
log ₅(41.8)	=	2.3193789028401
log ₅(41.81)	=	2.3195275297837
log ₅(41.82)	=	2.3196761211833
log ₅(41.83)	=	2.319824677056
log ₅(41.84)	=	2.3199731974187
log ₅(41.85)	=	2.3201216822885
log ₅(41.86)	=	2.3202701316822
log ₅(41.87)	=	2.3204185456169
log ₅(41.88)	=	2.3205669241094
log ₅(41.89)	=	2.3207152671768
log ₅(41.9)	=	2.3208635748358
log ₅(41.91)	=	2.3210118471034
log ₅(41.92)	=	2.3211600839966
log ₅(41.93)	=	2.321308285532
log ₅(41.94)	=	2.3214564517267
log ₅(41.95)	=	2.3216045825975
log ₅(41.96)	=	2.3217526781612
log ₅(41.97)	=	2.3219007384347
log ₅(41.98)	=	2.3220487634347
log ₅(41.99)	=	2.322196753178
log ₅(42)	=	2.3223447076815
log ₅(42.01)	=	2.322492626962
log ₅(42.02)	=	2.3226405110361
log ₅(42.03)	=	2.3227883599207
log ₅(42.04)	=	2.3229361736325
log ₅(42.05)	=	2.3230839521882
log ₅(42.06)	=	2.3232316956046
log ₅(42.07)	=	2.3233794038983
log ₅(42.08)	=	2.323527077086
log ₅(42.09)	=	2.3236747151845
log ₅(42.1)	=	2.3238223182104
log ₅(42.11)	=	2.3239698861804
log ₅(42.12)	=	2.324117419111
log ₅(42.13)	=	2.324264917019
log ₅(42.14)	=	2.324412379921
log ₅(42.15)	=	2.3245598078336
log ₅(42.16)	=	2.3247072007733
log ₅(42.17)	=	2.3248545587568
log ₅(42.18)	=	2.3250018818007
log ₅(42.19)	=	2.3251491699214
log ₅(42.2)	=	2.3252964231357
log ₅(42.21)	=	2.3254436414599
log ₅(42.22)	=	2.3255908249107
log ₅(42.23)	=	2.3257379735045
log ₅(42.24)	=	2.3258850872579
log ₅(42.25)	=	2.3260321661874
log ₅(42.26)	=	2.3261792103094
log ₅(42.27)	=	2.3263262196404
log ₅(42.28)	=	2.3264731941968
log ₅(42.29)	=	2.3266201339952
log ₅(42.3)	=	2.3267670390519
log ₅(42.31)	=	2.3269139093835
log ₅(42.32)	=	2.3270607450062
log ₅(42.33)	=	2.3272075459364
log ₅(42.34)	=	2.3273543121907
log ₅(42.35)	=	2.3275010437853
log ₅(42.36)	=	2.3276477407367
log ₅(42.37)	=	2.3277944030611
log ₅(42.38)	=	2.327941030775
log ₅(42.39)	=	2.3280876238946
log ₅(42.4)	=	2.3282341824362
log ₅(42.41)	=	2.3283807064163
log ₅(42.42)	=	2.328527195851
log ₅(42.43)	=	2.3286736507567
log ₅(42.44)	=	2.3288200711497
log ₅(42.45)	=	2.3289664570461
log ₅(42.46)	=	2.3291128084623
log ₅(42.47)	=	2.3292591254145
log ₅(42.48)	=	2.3294054079189
log ₅(42.49)	=	2.3295516559917
log ₅(42.5)	=	2.3296978696492
log ₅(42.51)	=	2.3298440489075

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Log 5 (42)