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Log 3 (38)

Log 3 (38) is the logarithm of 38 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 (38) = 3.3110736128178.

Calculate Log Base 3 of 38

To solve the equation log 3 (38) = 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 = 38, a = 3:
    log 3 (38) = log(38) / log(3)
  3. Evaluate the term:
    log(38) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 3.3110736128178
    = Logarithm of 38 with base 3
Here’s the logarithm of 3 to the base 38.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 3.3110736128178 = 38
  • 3 3.3110736128178 = 38 is the exponential form of log3 (38)
  • 3 is the logarithm base of log3 (38)
  • 38 is the argument of log3 (38)
  • 3.3110736128178 is the exponent or power of 3 3.3110736128178 = 38
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 38?

Log3 (38) = 3.3110736128178.

How do you find the value of log 338?

Carry out the change of base logarithm operation.

What does log 3 38 mean?

It means the logarithm of 38 with base 3.

How do you solve log base 3 38?

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

What is the log base 3 of 38?

The value is 3.3110736128178.

How do you write log 3 38 in exponential form?

In exponential form is 3 3.3110736128178 = 38.

What is log3 (38) equal to?

log base 3 of 38 = 3.3110736128178.
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 38 = 3.3110736128178.

You now know everything about the logarithm with base 3, argument 38 and exponent 3.3110736128178.
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 (38).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(37.5)=3.2990172878644
log 3(37.51)=3.2992599859665
log 3(37.52)=3.299502619375
log 3(37.53)=3.2997451881244
log 3(37.54)=3.2999876922491
log 3(37.55)=3.3002301317835
log 3(37.56)=3.3004725067621
log 3(37.57)=3.3007148172192
log 3(37.58)=3.3009570631891
log 3(37.59)=3.3011992447062
log 3(37.6)=3.3014413618047
log 3(37.61)=3.301683414519
log 3(37.62)=3.3019254028832
log 3(37.63)=3.3021673269316
log 3(37.64)=3.3024091866983
log 3(37.65)=3.3026509822175
log 3(37.66)=3.3028927135233
log 3(37.67)=3.3031343806498
log 3(37.68)=3.303375983631
log 3(37.69)=3.3036175225011
log 3(37.7)=3.3038589972941
log 3(37.71)=3.3041004080438
log 3(37.72)=3.3043417547844
log 3(37.73)=3.3045830375496
log 3(37.74)=3.3048242563735
log 3(37.75)=3.3050654112899
log 3(37.76)=3.3053065023327
log 3(37.77)=3.3055475295356
log 3(37.78)=3.3057884929326
log 3(37.79)=3.3060293925573
log 3(37.8)=3.3062702284435
log 3(37.81)=3.3065110006249
log 3(37.82)=3.3067517091353
log 3(37.83)=3.3069923540082
log 3(37.84)=3.3072329352774
log 3(37.85)=3.3074734529764
log 3(37.86)=3.3077139071389
log 3(37.87)=3.3079542977983
log 3(37.88)=3.3081946249882
log 3(37.89)=3.3084348887422
log 3(37.9)=3.3086750890937
log 3(37.91)=3.3089152260761
log 3(37.92)=3.3091552997229
log 3(37.93)=3.3093953100675
log 3(37.94)=3.3096352571433
log 3(37.95)=3.3098751409836
log 3(37.96)=3.3101149616217
log 3(37.97)=3.3103547190909
log 3(37.98)=3.3105944134245
log 3(37.99)=3.3108340446557
log 3(38)=3.3110736128178
log 3(38.01)=3.311313117944
log 3(38.02)=3.3115525600673
log 3(38.03)=3.311791939221
log 3(38.04)=3.3120312554381
log 3(38.05)=3.3122705087518
log 3(38.06)=3.3125096991951
log 3(38.07)=3.312748826801
log 3(38.08)=3.3129878916025
log 3(38.09)=3.3132268936327
log 3(38.1)=3.3134658329244
log 3(38.11)=3.3137047095106
log 3(38.12)=3.3139435234243
log 3(38.13)=3.3141822746982
log 3(38.14)=3.3144209633653
log 3(38.15)=3.3146595894583
log 3(38.16)=3.3148981530101
log 3(38.17)=3.3151366540534
log 3(38.18)=3.315375092621
log 3(38.19)=3.3156134687456
log 3(38.2)=3.3158517824599
log 3(38.21)=3.3160900337966
log 3(38.22)=3.3163282227883
log 3(38.23)=3.3165663494677
log 3(38.24)=3.3168044138673
log 3(38.25)=3.3170424160196
log 3(38.26)=3.3172803559574
log 3(38.27)=3.317518233713
log 3(38.28)=3.3177560493189
log 3(38.29)=3.3179938028077
log 3(38.3)=3.3182314942118
log 3(38.31)=3.3184691235635
log 3(38.32)=3.3187066908953
log 3(38.33)=3.3189441962395
log 3(38.34)=3.3191816396286
log 3(38.35)=3.3194190210947
log 3(38.36)=3.3196563406701
log 3(38.37)=3.3198935983873
log 3(38.38)=3.3201307942783
log 3(38.39)=3.3203679283754
log 3(38.4)=3.3206050007108
log 3(38.41)=3.3208420113167
log 3(38.42)=3.3210789602251
log 3(38.43)=3.3213158474682
log 3(38.44)=3.3215526730782
log 3(38.45)=3.321789437087
log 3(38.46)=3.3220261395266
log 3(38.47)=3.3222627804292
log 3(38.48)=3.3224993598267
log 3(38.49)=3.322735877751
log 3(38.5)=3.3229723342341
log 3(38.51)=3.3232087293079

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