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Log 3 (108)

Log 3 (108) is the logarithm of 108 to the base 3:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log3 (108) = 4.2618595071429.

Calculate Log Base 3 of 108

To solve the equation log 3 (108) = 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 = 108, a = 3:
    log 3 (108) = log(108) / log(3)
  3. Evaluate the term:
    log(108) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 4.2618595071429
    = Logarithm of 108 with base 3
Here’s the logarithm of 3 to the base 108.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 4.2618595071429 = 108
  • 3 4.2618595071429 = 108 is the exponential form of log3 (108)
  • 3 is the logarithm base of log3 (108)
  • 108 is the argument of log3 (108)
  • 4.2618595071429 is the exponent or power of 3 4.2618595071429 = 108
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

What is the value of log3 108?

Log3 (108) = 4.2618595071429.

How do you find the value of log 3108?

Carry out the change of base logarithm operation.

What does log 3 108 mean?

It means the logarithm of 108 with base 3.

How do you solve log base 3 108?

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

What is the log base 3 of 108?

The value is 4.2618595071429.

How do you write log 3 108 in exponential form?

In exponential form is 3 4.2618595071429 = 108.

What is log3 (108) equal to?

log base 3 of 108 = 4.2618595071429.
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 3 of 108 = 4.2618595071429.

You now know everything about the logarithm with base 3, argument 108 and exponent 4.2618595071429.
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 Log3 (108).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(107.5)=4.2576356516441
log 3(107.51)=4.2577203211225
log 3(107.52)=4.2578049827258
log 3(107.53)=4.2578896364553
log 3(107.54)=4.2579742823127
log 3(107.55)=4.2580589202994
log 3(107.56)=4.2581435504167
log 3(107.57)=4.2582281726663
log 3(107.58)=4.2583127870495
log 3(107.59)=4.2583973935678
log 3(107.6)=4.2584819922227
log 3(107.61)=4.2585665830156
log 3(107.62)=4.258651165948
log 3(107.63)=4.2587357410214
log 3(107.64)=4.2588203082372
log 3(107.65)=4.2589048675969
log 3(107.66)=4.2589894191019
log 3(107.67)=4.2590739627537
log 3(107.68)=4.2591584985538
log 3(107.69)=4.2592430265036
log 3(107.7)=4.2593275466045
log 3(107.71)=4.2594120588581
log 3(107.72)=4.2594965632658
log 3(107.73)=4.259581059829
log 3(107.74)=4.2596655485492
log 3(107.75)=4.2597500294279
log 3(107.76)=4.2598345024665
log 3(107.77)=4.2599189676665
log 3(107.78)=4.2600034250292
log 3(107.79)=4.2600878745563
log 3(107.8)=4.2601723162491
log 3(107.81)=4.260256750109
log 3(107.82)=4.2603411761376
log 3(107.83)=4.2604255943363
log 3(107.84)=4.2605100047065
log 3(107.85)=4.2605944072497
log 3(107.86)=4.2606788019674
log 3(107.87)=4.2607631888609
log 3(107.88)=4.2608475679318
log 3(107.89)=4.2609319391815
log 3(107.9)=4.2610163026114
log 3(107.91)=4.2611006582231
log 3(107.92)=4.2611850060178
log 3(107.93)=4.2612693459972
log 3(107.94)=4.2613536781626
log 3(107.95)=4.2614380025155
log 3(107.96)=4.2615223190573
log 3(107.97)=4.2616066277895
log 3(107.98)=4.2616909287136
log 3(107.99)=4.2617752218309
log 3(108)=4.2618595071429
log 3(108.01)=4.2619437846511
log 3(108.02)=4.2620280543569
log 3(108.03)=4.2621123162618
log 3(108.04)=4.2621965703671
log 3(108.05)=4.2622808166745
log 3(108.06)=4.2623650551851
log 3(108.07)=4.2624492859007
log 3(108.08)=4.2625335088225
log 3(108.09)=4.262617723952
log 3(108.1)=4.2627019312906
log 3(108.11)=4.2627861308399
log 3(108.12)=4.2628703226012
log 3(108.13)=4.262954506576
log 3(108.14)=4.2630386827657
log 3(108.15)=4.2631228511717
log 3(108.16)=4.2632070117956
log 3(108.17)=4.2632911646387
log 3(108.18)=4.2633753097024
log 3(108.19)=4.2634594469883
log 3(108.2)=4.2635435764977
log 3(108.21)=4.2636276982321
log 3(108.22)=4.263711812193
log 3(108.23)=4.2637959183817
log 3(108.24)=4.2638800167997
log 3(108.25)=4.2639641074484
log 3(108.26)=4.2640481903293
log 3(108.27)=4.2641322654439
log 3(108.28)=4.2642163327934
log 3(108.29)=4.2643003923794
log 3(108.3)=4.2643844442034
log 3(108.31)=4.2644684882666
log 3(108.32)=4.2645525245707
log 3(108.33)=4.2646365531169
log 3(108.34)=4.2647205739068
log 3(108.35)=4.2648045869418
log 3(108.36)=4.2648885922233
log 3(108.37)=4.2649725897526
log 3(108.38)=4.2650565795314
log 3(108.39)=4.265140561561
log 3(108.4)=4.2652245358427
log 3(108.41)=4.2653085023781
log 3(108.42)=4.2653924611687
log 3(108.43)=4.2654764122157
log 3(108.44)=4.2655603555206
log 3(108.45)=4.2656442910849
log 3(108.46)=4.2657282189101
log 3(108.47)=4.2658121389974
log 3(108.48)=4.2658960513484
log 3(108.49)=4.2659799559644
log 3(108.5)=4.266063852847

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