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Log 3 (61)

Log 3 (61) is the logarithm of 61 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 (61) = 3.7418786468856.

Calculate Log Base 3 of 61

To solve the equation log 3 (61) = 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 = 61, a = 3:
    log 3 (61) = log(61) / log(3)
  3. Evaluate the term:
    log(61) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 3.7418786468856
    = Logarithm of 61 with base 3
Here’s the logarithm of 3 to the base 61.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 3.7418786468856 = 61
  • 3 3.7418786468856 = 61 is the exponential form of log3 (61)
  • 3 is the logarithm base of log3 (61)
  • 61 is the argument of log3 (61)
  • 3.7418786468856 is the exponent or power of 3 3.7418786468856 = 61
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 61?

Log3 (61) = 3.7418786468856.

How do you find the value of log 361?

Carry out the change of base logarithm operation.

What does log 3 61 mean?

It means the logarithm of 61 with base 3.

How do you solve log base 3 61?

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

What is the log base 3 of 61?

The value is 3.7418786468856.

How do you write log 3 61 in exponential form?

In exponential form is 3 3.7418786468856 = 61.

What is log3 (61) equal to?

log base 3 of 61 = 3.7418786468856.
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 61 = 3.7418786468856.

You now know everything about the logarithm with base 3, argument 61 and exponent 3.7418786468856.
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 (61).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(60.5)=3.7343869237168
log 3(60.51)=3.7345373640488
log 3(60.52)=3.7346877795208
log 3(60.53)=3.734838170141
log 3(60.54)=3.7349885359176
log 3(60.55)=3.7351388768588
log 3(60.56)=3.7352891929729
log 3(60.57)=3.735439484268
log 3(60.58)=3.7355897507523
log 3(60.59)=3.735739992434
log 3(60.6)=3.7358902093213
log 3(60.61)=3.7360404014224
log 3(60.62)=3.7361905687455
log 3(60.63)=3.7363407112986
log 3(60.64)=3.7364908290901
log 3(60.65)=3.7366409221281
log 3(60.66)=3.7367909904207
log 3(60.67)=3.7369410339761
log 3(60.68)=3.7370910528024
log 3(60.69)=3.7372410469078
log 3(60.7)=3.7373910163004
log 3(60.71)=3.7375409609885
log 3(60.72)=3.73769088098
log 3(60.73)=3.7378407762832
log 3(60.74)=3.7379906469062
log 3(60.75)=3.7381404928571
log 3(60.76)=3.738290314144
log 3(60.77)=3.7384401107751
log 3(60.78)=3.7385898827584
log 3(60.79)=3.7387396301021
log 3(60.8)=3.7388893528143
log 3(60.81)=3.739039050903
log 3(60.82)=3.7391887243765
log 3(60.83)=3.7393383732427
log 3(60.84)=3.7394879975097
log 3(60.85)=3.7396375971857
log 3(60.86)=3.7397871722788
log 3(60.87)=3.7399367227969
log 3(60.88)=3.7400862487482
log 3(60.89)=3.7402357501408
log 3(60.9)=3.7403852269827
log 3(60.91)=3.740534679282
log 3(60.92)=3.7406841070467
log 3(60.93)=3.7408335102849
log 3(60.94)=3.7409828890046
log 3(60.95)=3.7411322432139
log 3(60.96)=3.7412815729208
log 3(60.97)=3.7414308781334
log 3(60.98)=3.7415801588598
log 3(60.99)=3.7417294151078
log 3(61)=3.7418786468856
log 3(61.01)=3.7420278542012
log 3(61.02)=3.7421770370625
log 3(61.03)=3.7423261954777
log 3(61.04)=3.7424753294547
log 3(61.05)=3.7426244390016
log 3(61.06)=3.7427735241262
log 3(61.07)=3.7429225848367
log 3(61.08)=3.7430716211411
log 3(61.09)=3.7432206330472
log 3(61.1)=3.7433696205631
log 3(61.11)=3.7435185836969
log 3(61.12)=3.7436675224564
log 3(61.13)=3.7438164368496
log 3(61.14)=3.7439653268846
log 3(61.15)=3.7441141925692
log 3(61.16)=3.7442630339115
log 3(61.17)=3.7444118509193
log 3(61.18)=3.7445606436008
log 3(61.19)=3.7447094119637
log 3(61.2)=3.7448581560161
log 3(61.21)=3.7450068757659
log 3(61.22)=3.745155571221
log 3(61.23)=3.7453042423895
log 3(61.24)=3.7454528892791
log 3(61.25)=3.7456015118979
log 3(61.26)=3.7457501102537
log 3(61.27)=3.7458986843545
log 3(61.28)=3.7460472342082
log 3(61.29)=3.7461957598227
log 3(61.3)=3.746344261206
log 3(61.31)=3.7464927383659
log 3(61.32)=3.7466411913103
log 3(61.33)=3.7467896200471
log 3(61.34)=3.7469380245843
log 3(61.35)=3.7470864049296
log 3(61.36)=3.7472347610911
log 3(61.37)=3.7473830930765
log 3(61.38)=3.7475314008938
log 3(61.39)=3.7476796845509
log 3(61.4)=3.7478279440555
log 3(61.41)=3.7479761794156
log 3(61.42)=3.748124390639
log 3(61.43)=3.7482725777336
log 3(61.44)=3.7484207407073
log 3(61.45)=3.7485688795678
log 3(61.46)=3.7487169943231
log 3(61.47)=3.748865084981
log 3(61.48)=3.7490131515493
log 3(61.49)=3.7491611940358
log 3(61.5)=3.7493092124485
log 3(61.51)=3.7494572067951

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