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Log 5 (8)

Log 5 (8) is the logarithm of 8 to the base 5:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log5 (8) = 1.2920296742202.

Calculate Log Base 5 of 8

To solve the equation log 5 (8) = 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 = 8, a = 5:
    log 5 (8) = log(8) / log(5)
  3. Evaluate the term:
    log(8) / log(5)
    = 1.39794000867204 / 1.92427928606188
    = 1.2920296742202
    = Logarithm of 8 with base 5
Here’s the logarithm of 5 to the base 8.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 5 1.2920296742202 = 8
  • 5 1.2920296742202 = 8 is the exponential form of log5 (8)
  • 5 is the logarithm base of log5 (8)
  • 8 is the argument of log5 (8)
  • 1.2920296742202 is the exponent or power of 5 1.2920296742202 = 8
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 8?

Log5 (8) = 1.2920296742202.

How do you find the value of log 58?

Carry out the change of base logarithm operation.

What does log 5 8 mean?

It means the logarithm of 8 with base 5.

How do you solve log base 5 8?

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

What is the log base 5 of 8?

The value is 1.2920296742202.

How do you write log 5 8 in exponential form?

In exponential form is 5 1.2920296742202 = 8.

What is log5 (8) equal to?

log base 5 of 8 = 1.2920296742202.

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 8 = 1.2920296742202.

You now know everything about the logarithm with base 5, argument 8 and exponent 1.2920296742202.
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 (8).

Table

Our quick conversion table is easy to use:
log 5(x) Value
log 5(7.5)=1.2519296364126
log 5(7.51)=1.2527575311847
log 5(7.52)=1.2535843243002
log 5(7.53)=1.2544100186869
log 5(7.54)=1.2552346172612
log 5(7.55)=1.2560581229279
log 5(7.56)=1.2568805385801
log 5(7.57)=1.2577018670997
log 5(7.58)=1.2585221113568
log 5(7.59)=1.2593412742106
log 5(7.6)=1.2601593585085
log 5(7.61)=1.2609763670872
log 5(7.62)=1.2617923027719
log 5(7.63)=1.2626071683766
log 5(7.64)=1.2634209667045
log 5(7.65)=1.2642337005478
log 5(7.66)=1.2650453726874
log 5(7.67)=1.2658559858938
log 5(7.68)=1.2666655429263
log 5(7.69)=1.2674740465337
log 5(7.7)=1.2682814994538
log 5(7.71)=1.2690879044139
log 5(7.72)=1.2698932641307
log 5(7.73)=1.2706975813104
log 5(7.74)=1.2715008586486
log 5(7.75)=1.2723030988305
log 5(7.76)=1.2731043045309
log 5(7.77)=1.2739044784143
log 5(7.78)=1.2747036231348
log 5(7.79)=1.2755017413365
log 5(7.8)=1.2762988356531
log 5(7.81)=1.2770949087082
log 5(7.82)=1.2778899631156
log 5(7.83)=1.2786840014787
log 5(7.84)=1.2794770263911
log 5(7.85)=1.2802690404366
log 5(7.86)=1.281060046189
log 5(7.87)=1.2818500462122
log 5(7.88)=1.2826390430605
log 5(7.89)=1.2834270392784
log 5(7.9)=1.2842140374008
log 5(7.91)=1.2850000399529
log 5(7.92)=1.2857850494503
log 5(7.93)=1.2865690683992
log 5(7.94)=1.2873520992963
log 5(7.95)=1.2881341446287
log 5(7.96)=1.2889152068743
log 5(7.97)=1.2896952885016
log 5(7.98)=1.2904743919699
log 5(7.99)=1.2912525197292
log 5(8)=1.2920296742202
log 5(8.01)=1.2928058578746
log 5(8.02)=1.293581073115
log 5(8.03)=1.2943553223548
log 5(8.04)=1.2951286079986
log 5(8.05)=1.2959009324418
log 5(8.06)=1.296672298071
log 5(8.07)=1.297442707264
log 5(8.08)=1.2982121623897
log 5(8.09)=1.2989806658081
log 5(8.1)=1.2997482198705
log 5(8.11)=1.3005148269198
log 5(8.12)=1.3012804892897
log 5(8.13)=1.3020452093057
log 5(8.14)=1.3028089892845
log 5(8.15)=1.3035718315345
log 5(8.16)=1.3043337383554
log 5(8.17)=1.3050947120384
log 5(8.18)=1.3058547548666
log 5(8.19)=1.3066138691144
log 5(8.2)=1.3073720570481
log 5(8.21)=1.3081293209256
log 5(8.22)=1.3088856629965
log 5(8.23)=1.3096410855024
log 5(8.24)=1.3103955906766
log 5(8.25)=1.3111491807442
log 5(8.26)=1.3119018579223
log 5(8.27)=1.31265362442
log 5(8.28)=1.3134044824383
log 5(8.29)=1.3141544341704
log 5(8.3)=1.3149034818013
log 5(8.31)=1.3156516275082
log 5(8.32)=1.3163988734607
log 5(8.33)=1.3171452218201
log 5(8.34)=1.3178906747405
log 5(8.35)=1.3186352343677
log 5(8.36)=1.3193789028401
log 5(8.37)=1.3201216822885
log 5(8.38)=1.3208635748358
log 5(8.39)=1.3216045825975
log 5(8.4)=1.3223447076815
log 5(8.41)=1.3230839521882
log 5(8.42)=1.3238223182104
log 5(8.43)=1.3245598078336
log 5(8.44)=1.3252964231357
log 5(8.45)=1.3260321661874
log 5(8.46)=1.3267670390519
log 5(8.47)=1.3275010437853
log 5(8.48)=1.3282341824362
log 5(8.49)=1.3289664570461
log 5(8.5)=1.3296978696492
log 5(8.51)=1.3304284222725

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