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Log 3 (70)

Log 3 (70) is the logarithm of 70 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 (70) = 3.8671470234508.

Calculate Log Base 3 of 70

To solve the equation log 3 (70) = 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 = 70, a = 3:
    log 3 (70) = log(70) / log(3)
  3. Evaluate the term:
    log(70) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 3.8671470234508
    = Logarithm of 70 with base 3
Here’s the logarithm of 3 to the base 70.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 3.8671470234508 = 70
  • 3 3.8671470234508 = 70 is the exponential form of log3 (70)
  • 3 is the logarithm base of log3 (70)
  • 70 is the argument of log3 (70)
  • 3.8671470234508 is the exponent or power of 3 3.8671470234508 = 70
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 70?

Log3 (70) = 3.8671470234508.

How do you find the value of log 370?

Carry out the change of base logarithm operation.

What does log 3 70 mean?

It means the logarithm of 70 with base 3.

How do you solve log base 3 70?

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

What is the log base 3 of 70?

The value is 3.8671470234508.

How do you write log 3 70 in exponential form?

In exponential form is 3 3.8671470234508 = 70.

What is log3 (70) equal to?

log base 3 of 70 = 3.8671470234508.
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 70 = 3.8671470234508.

You now know everything about the logarithm with base 3, argument 70 and exponent 3.8671470234508.
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 (70).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(69.5)=3.8606219831317
log 3(69.51)=3.8607529433832
log 3(69.52)=3.8608838847956
log 3(69.53)=3.8610148073743
log 3(69.54)=3.8611457111247
log 3(69.55)=3.8612765960521
log 3(69.56)=3.8614074621622
log 3(69.57)=3.8615383094601
log 3(69.58)=3.8616691379514
log 3(69.59)=3.8617999476414
log 3(69.6)=3.8619307385357
log 3(69.61)=3.8620615106394
log 3(69.62)=3.8621922639581
log 3(69.63)=3.8623229984972
log 3(69.64)=3.862453714262
log 3(69.65)=3.8625844112579
log 3(69.66)=3.8627150894904
log 3(69.67)=3.8628457489647
log 3(69.68)=3.8629763896864
log 3(69.69)=3.8631070116607
log 3(69.7)=3.8632376148931
log 3(69.71)=3.863368199389
log 3(69.72)=3.8634987651536
log 3(69.73)=3.8636293121924
log 3(69.74)=3.8637598405108
log 3(69.75)=3.8638903501141
log 3(69.76)=3.8640208410077
log 3(69.77)=3.8641513131969
log 3(69.78)=3.8642817666872
log 3(69.79)=3.8644122014838
log 3(69.8)=3.8645426175921
log 3(69.81)=3.8646730150175
log 3(69.82)=3.8648033937654
log 3(69.83)=3.8649337538411
log 3(69.84)=3.8650640952498
log 3(69.85)=3.8651944179971
log 3(69.86)=3.8653247220882
log 3(69.87)=3.8654550075284
log 3(69.88)=3.8655852743231
log 3(69.89)=3.8657155224777
log 3(69.9)=3.8658457519974
log 3(69.91)=3.8659759628876
log 3(69.92)=3.8661061551537
log 3(69.93)=3.8662363288009
log 3(69.94)=3.8663664838346
log 3(69.95)=3.8664966202601
log 3(69.96)=3.8666267380828
log 3(69.97)=3.8667568373078
log 3(69.98)=3.8668869179406
log 3(69.99)=3.8670169799865
log 3(70)=3.8671470234508
log 3(70.01)=3.8672770483388
log 3(70.02)=3.8674070546557
log 3(70.03)=3.867537042407
log 3(70.04)=3.8676670115978
log 3(70.05)=3.8677969622336
log 3(70.06)=3.8679268943196
log 3(70.07)=3.868056807861
log 3(70.08)=3.8681867028632
log 3(70.09)=3.8683165793316
log 3(70.1)=3.8684464372712
log 3(70.11)=3.8685762766876
log 3(70.12)=3.8687060975858
log 3(70.13)=3.8688358999713
log 3(70.14)=3.8689656838493
log 3(70.15)=3.869095449225
log 3(70.16)=3.8692251961038
log 3(70.17)=3.8693549244909
log 3(70.18)=3.8694846343916
log 3(70.19)=3.8696143258112
log 3(70.2)=3.8697439987549
log 3(70.21)=3.8698736532279
log 3(70.22)=3.8700032892357
log 3(70.23)=3.8701329067833
log 3(70.24)=3.8702625058761
log 3(70.25)=3.8703920865193
log 3(70.26)=3.8705216487181
log 3(70.27)=3.8706511924779
log 3(70.28)=3.8707807178039
log 3(70.29)=3.8709102247012
log 3(70.3)=3.8710397131753
log 3(70.31)=3.8711691832312
log 3(70.32)=3.8712986348742
log 3(70.33)=3.8714280681097
log 3(70.34)=3.8715574829427
log 3(70.35)=3.8716868793786
log 3(70.36)=3.8718162574225
log 3(70.37)=3.8719456170798
log 3(70.38)=3.8720749583555
log 3(70.39)=3.872204281255
log 3(70.4)=3.8723335857835
log 3(70.41)=3.8724628719462
log 3(70.42)=3.8725921397482
log 3(70.43)=3.8727213891949
log 3(70.44)=3.8728506202914
log 3(70.45)=3.8729798330429
log 3(70.46)=3.8731090274547
log 3(70.47)=3.8732382035319
log 3(70.480000000001)=3.8733673612798
log 3(70.490000000001)=3.8734965007035
log 3(70.500000000001)=3.8736256218083

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