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Log 3 (65)

Log 3 (65) is the logarithm of 65 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 (65) = 3.7996910401907.

Calculate Log Base 3 of 65

To solve the equation log 3 (65) = 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 = 65, a = 3:
    log 3 (65) = log(65) / log(3)
  3. Evaluate the term:
    log(65) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 3.7996910401907
    = Logarithm of 65 with base 3
Here’s the logarithm of 3 to the base 65.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 3.7996910401907 = 65
  • 3 3.7996910401907 = 65 is the exponential form of log3 (65)
  • 3 is the logarithm base of log3 (65)
  • 65 is the argument of log3 (65)
  • 3.7996910401907 is the exponent or power of 3 3.7996910401907 = 65
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 65?

Log3 (65) = 3.7996910401907.

How do you find the value of log 365?

Carry out the change of base logarithm operation.

What does log 3 65 mean?

It means the logarithm of 65 with base 3.

How do you solve log base 3 65?

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

What is the log base 3 of 65?

The value is 3.7996910401907.

How do you write log 3 65 in exponential form?

In exponential form is 3 3.7996910401907 = 65.

What is log3 (65) equal to?

log base 3 of 65 = 3.7996910401907.
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 65 = 3.7996910401907.

You now know everything about the logarithm with base 3, argument 65 and exponent 3.7996910401907.
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 (65).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(64.5)=3.7926621309262
log 3(64.51)=3.7928032423484
log 3(64.52)=3.7929443318978
log 3(64.53)=3.7930853995814
log 3(64.54)=3.7932264454059
log 3(64.55)=3.7933674693781
log 3(64.56)=3.7935084715047
log 3(64.57)=3.7936494517926
log 3(64.58)=3.7937904102484
log 3(64.59)=3.793931346879
log 3(64.6)=3.794072261691
log 3(64.61)=3.7942131546913
log 3(64.62)=3.7943540258866
log 3(64.63)=3.7944948752837
log 3(64.64)=3.7946357028892
log 3(64.65)=3.79477650871
log 3(64.66)=3.7949172927528
log 3(64.67)=3.7950580550242
log 3(64.68)=3.7951987955311
log 3(64.69)=3.7953395142802
log 3(64.7)=3.7954802112782
log 3(64.71)=3.7956208865318
log 3(64.72)=3.7957615400477
log 3(64.73)=3.7959021718327
log 3(64.74)=3.7960427818935
log 3(64.75)=3.7961833702368
log 3(64.76)=3.7963239368692
log 3(64.77)=3.7964644817976
log 3(64.78)=3.7966050050285
log 3(64.79)=3.7967455065688
log 3(64.8)=3.796885986425
log 3(64.81)=3.7970264446039
log 3(64.82)=3.7971668811122
log 3(64.83)=3.7973072959565
log 3(64.84)=3.7974476891436
log 3(64.85)=3.7975880606801
log 3(64.86)=3.7977284105727
log 3(64.87)=3.7978687388281
log 3(64.88)=3.7980090454529
log 3(64.89)=3.7981493304538
log 3(64.9)=3.7982895938375
log 3(64.91)=3.7984298356106
log 3(64.92)=3.7985700557798
log 3(64.93)=3.7987102543518
log 3(64.94)=3.7988504313331
log 3(64.95)=3.7989905867305
log 3(64.96)=3.7991307205506
log 3(64.97)=3.7992708328
log 3(64.98)=3.7994109234854
log 3(64.99)=3.7995509926135
log 3(65)=3.7996910401907
log 3(65.01)=3.7998310662239
log 3(65.02)=3.7999710707195
log 3(65.03)=3.8001110536843
log 3(65.04)=3.8002510151248
log 3(65.05)=3.8003909550477
log 3(65.06)=3.8005308734596
log 3(65.07)=3.800670770367
log 3(65.08)=3.8008106457767
log 3(65.09)=3.8009504996952
log 3(65.1)=3.8010903321291
log 3(65.11)=3.801230143085
log 3(65.12)=3.8013699325695
log 3(65.13)=3.8015097005892
log 3(65.14)=3.8016494471507
log 3(65.15)=3.8017891722606
log 3(65.16)=3.8019288759255
log 3(65.17)=3.8020685581519
log 3(65.18)=3.8022082189464
log 3(65.19)=3.8023478583157
log 3(65.2)=3.8024874762662
log 3(65.21)=3.8026270728045
log 3(65.22)=3.8027666479373
log 3(65.23)=3.8029062016711
log 3(65.24)=3.8030457340124
log 3(65.25)=3.8031852449678
log 3(65.26)=3.8033247345438
log 3(65.27)=3.803464202747
log 3(65.28)=3.803603649584
log 3(65.29)=3.8037430750613
log 3(65.3)=3.8038824791854
log 3(65.31)=3.8040218619629
log 3(65.32)=3.8041612234003
log 3(65.33)=3.8043005635041
log 3(65.34)=3.804439882281
log 3(65.35)=3.8045791797373
log 3(65.36)=3.8047184558797
log 3(65.37)=3.8048577107146
log 3(65.38)=3.8049969442486
log 3(65.39)=3.8051361564881
log 3(65.4)=3.8052753474398
log 3(65.41)=3.8054145171101
log 3(65.42)=3.8055536655054
log 3(65.43)=3.8056927926324
log 3(65.44)=3.8058318984976
log 3(65.45)=3.8059709831073
log 3(65.46)=3.8061100464681
log 3(65.47)=3.8062490885866
log 3(65.480000000001)=3.8063881094691
log 3(65.490000000001)=3.8065271091222
log 3(65.500000000001)=3.8066660875524

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