Home » Logarithms of 3 » Log3 (357)

Log 3 (357)

Log 3 (357) is the logarithm of 357 to the base 3:

Calculator

log

Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log3 (357) = 5.350145672324.

Calculate Log Base 3 of 357

To solve the equation log 3 (357) = 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 = 357, a = 3:
    log 3 (357) = log(357) / log(3)
  3. Evaluate the term:
    log(357) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 5.350145672324
    = Logarithm of 357 with base 3
Here’s the logarithm of 3 to the base 357.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 5.350145672324 = 357
  • 3 5.350145672324 = 357 is the exponential form of log3 (357)
  • 3 is the logarithm base of log3 (357)
  • 357 is the argument of log3 (357)
  • 5.350145672324 is the exponent or power of 3 5.350145672324 = 357
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 357?

Log3 (357) = 5.350145672324.

How do you find the value of log 3357?

Carry out the change of base logarithm operation.

What does log 3 357 mean?

It means the logarithm of 357 with base 3.

How do you solve log base 3 357?

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

What is the log base 3 of 357?

The value is 5.350145672324.

How do you write log 3 357 in exponential form?

In exponential form is 3 5.350145672324 = 357.

What is log3 (357) equal to?

log base 3 of 357 = 5.350145672324.
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 357 = 5.350145672324.

You now know everything about the logarithm with base 3, argument 357 and exponent 5.350145672324.
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 (357).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(356.5)=5.3488699338858
log 3(356.51)=5.3488954661849
log 3(356.52)=5.3489209977677
log 3(356.53)=5.3489465286345
log 3(356.54)=5.3489720587851
log 3(356.55)=5.3489975882198
log 3(356.56)=5.3490231169384
log 3(356.57)=5.349048644941
log 3(356.58)=5.3490741722278
log 3(356.59)=5.3490996987986
log 3(356.6)=5.3491252246536
log 3(356.61)=5.3491507497928
log 3(356.62)=5.3491762742163
log 3(356.63)=5.349201797924
log 3(356.64)=5.349227320916
log 3(356.65)=5.3492528431924
log 3(356.66)=5.3492783647532
log 3(356.67)=5.3493038855985
log 3(356.68)=5.3493294057282
log 3(356.69)=5.3493549251424
log 3(356.7)=5.3493804438412
log 3(356.71)=5.3494059618246
log 3(356.72)=5.3494314790927
log 3(356.73)=5.3494569956454
log 3(356.74)=5.3494825114828
log 3(356.75)=5.349508026605
log 3(356.76)=5.349533541012
log 3(356.77)=5.3495590547038
log 3(356.78)=5.3495845676805
log 3(356.79)=5.3496100799422
log 3(356.8)=5.3496355914888
log 3(356.81)=5.3496611023204
log 3(356.82)=5.349686612437
log 3(356.83)=5.3497121218387
log 3(356.84)=5.3497376305255
log 3(356.85)=5.3497631384975
log 3(356.86)=5.3497886457547
log 3(356.87)=5.3498141522972
log 3(356.88)=5.3498396581249
log 3(356.89)=5.3498651632379
log 3(356.9)=5.3498906676363
log 3(356.91)=5.3499161713201
log 3(356.92)=5.3499416742894
log 3(356.93)=5.3499671765441
log 3(356.94)=5.3499926780843
log 3(356.95)=5.3500181789101
log 3(356.96)=5.3500436790216
log 3(356.97)=5.3500691784186
log 3(356.98)=5.3500946771013
log 3(356.99)=5.3501201750698
log 3(357)=5.350145672324
log 3(357.01)=5.350171168864
log 3(357.02)=5.3501966646899
log 3(357.03)=5.3502221598016
log 3(357.04)=5.3502476541992
log 3(357.05)=5.3502731478829
log 3(357.06)=5.3502986408525
log 3(357.07)=5.3503241331081
log 3(357.08)=5.3503496246499
log 3(357.09)=5.3503751154777
log 3(357.1)=5.3504006055918
log 3(357.11)=5.350426094992
log 3(357.12)=5.3504515836784
log 3(357.13)=5.3504770716512
log 3(357.14)=5.3505025589103
log 3(357.15)=5.3505280454557
log 3(357.16)=5.3505535312875
log 3(357.17)=5.3505790164058
log 3(357.18)=5.3506045008105
log 3(357.19)=5.3506299845018
log 3(357.2)=5.3506554674796
log 3(357.21)=5.3506809497441
log 3(357.22)=5.3507064312951
log 3(357.23)=5.3507319121329
log 3(357.24)=5.3507573922574
log 3(357.25)=5.3507828716686
log 3(357.26)=5.3508083503666
log 3(357.27)=5.3508338283515
log 3(357.28)=5.3508593056233
log 3(357.29)=5.350884782182
log 3(357.3)=5.3509102580276
log 3(357.31)=5.3509357331602
log 3(357.32)=5.3509612075799
log 3(357.33)=5.3509866812867
log 3(357.34)=5.3510121542805
log 3(357.35)=5.3510376265616
log 3(357.36)=5.3510630981298
log 3(357.37)=5.3510885689853
log 3(357.38)=5.351114039128
log 3(357.39)=5.3511395085581
log 3(357.4)=5.3511649772756
log 3(357.41)=5.3511904452804
log 3(357.42)=5.3512159125727
log 3(357.43)=5.3512413791524
log 3(357.44)=5.3512668450197
log 3(357.45)=5.3512923101745
log 3(357.46)=5.3513177746169
log 3(357.47)=5.351343238347
log 3(357.48)=5.3513687013647
log 3(357.49)=5.3513941636702
log 3(357.5)=5.3514196252634
log 3(357.51)=5.3514450861444

Base 2 Logarithm Quiz

Take our free base 2 logarithm quiz practice to test your knowledge of the binary logarithm.

Take Base 2 Logarithm Quiz Now!
Scroll to Top