Home » Logarithms of 3 » Log3 (380)

Log 3 (380)

Log 3 (380) is the logarithm of 380 to the base 3:

Calculator

log

Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log3 (380) = 5.4069768871072.

Calculate Log Base 3 of 380

To solve the equation log 3 (380) = 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 = 380, a = 3:
    log 3 (380) = log(380) / log(3)
  3. Evaluate the term:
    log(380) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 5.4069768871072
    = Logarithm of 380 with base 3
Here’s the logarithm of 3 to the base 380.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 5.4069768871072 = 380
  • 3 5.4069768871072 = 380 is the exponential form of log3 (380)
  • 3 is the logarithm base of log3 (380)
  • 380 is the argument of log3 (380)
  • 5.4069768871072 is the exponent or power of 3 5.4069768871072 = 380
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 380?

Log3 (380) = 5.4069768871072.

How do you find the value of log 3380?

Carry out the change of base logarithm operation.

What does log 3 380 mean?

It means the logarithm of 380 with base 3.

How do you solve log base 3 380?

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

What is the log base 3 of 380?

The value is 5.4069768871072.

How do you write log 3 380 in exponential form?

In exponential form is 3 5.4069768871072 = 380.

What is log3 (380) equal to?

log base 3 of 380 = 5.4069768871072.
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 380 = 5.4069768871072.

You now know everything about the logarithm with base 3, argument 380 and exponent 5.4069768871072.
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 (380).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(379.5)=5.405778415273
log 3(379.51)=5.4058024001803
log 3(379.52)=5.4058263844557
log 3(379.53)=5.4058503680991
log 3(379.54)=5.4058743511106
log 3(379.55)=5.4058983334902
log 3(379.56)=5.4059223152379
log 3(379.57)=5.4059462963539
log 3(379.58)=5.405970276838
log 3(379.59)=5.4059942566904
log 3(379.6)=5.406018235911
log 3(379.61)=5.4060422145
log 3(379.62)=5.4060661924573
log 3(379.63)=5.406090169783
log 3(379.64)=5.4061141464771
log 3(379.65)=5.4061381225397
log 3(379.66)=5.4061620979707
log 3(379.67)=5.4061860727703
log 3(379.68)=5.4062100469383
log 3(379.69)=5.406234020475
log 3(379.7)=5.4062579933803
log 3(379.71)=5.4062819656542
log 3(379.72)=5.4063059372968
log 3(379.73)=5.4063299083081
log 3(379.74)=5.4063538786881
log 3(379.75)=5.4063778484369
log 3(379.76)=5.4064018175546
log 3(379.77)=5.4064257860411
log 3(379.78)=5.4064497538964
log 3(379.79)=5.4064737211207
log 3(379.8)=5.4064976877139
log 3(379.81)=5.4065216536761
log 3(379.82)=5.4065456190073
log 3(379.83)=5.4065695837075
log 3(379.84)=5.4065935477768
log 3(379.85)=5.4066175112152
log 3(379.86)=5.4066414740228
log 3(379.87)=5.4066654361995
log 3(379.88)=5.4066893977455
log 3(379.89)=5.4067133586607
log 3(379.9)=5.4067373189451
log 3(379.91)=5.4067612785989
log 3(379.92)=5.406785237622
log 3(379.93)=5.4068091960145
log 3(379.94)=5.4068331537764
log 3(379.95)=5.4068571109077
log 3(379.96)=5.4068810674086
log 3(379.97)=5.4069050232789
log 3(379.98)=5.4069289785187
log 3(379.99)=5.4069529331282
log 3(380)=5.4069768871072
log 3(380.01)=5.4070008404559
log 3(380.02)=5.4070247931743
log 3(380.03)=5.4070487452623
log 3(380.04)=5.4070726967201
log 3(380.05)=5.4070966475477
log 3(380.06)=5.4071205977451
log 3(380.07)=5.4071445473123
log 3(380.08)=5.4071684962494
log 3(380.09)=5.4071924445564
log 3(380.1)=5.4072163922334
log 3(380.11)=5.4072403392803
log 3(380.12)=5.4072642856972
log 3(380.13)=5.4072882314841
log 3(380.14)=5.4073121766412
log 3(380.15)=5.4073361211683
log 3(380.16)=5.4073600650656
log 3(380.17)=5.407384008333
log 3(380.18)=5.4074079509707
log 3(380.19)=5.4074318929785
log 3(380.2)=5.4074558343567
log 3(380.21)=5.4074797751051
log 3(380.22)=5.4075037152239
log 3(380.23)=5.4075276547131
log 3(380.24)=5.4075515935727
log 3(380.25)=5.4075755318027
log 3(380.26)=5.4075994694031
log 3(380.27)=5.4076234063741
log 3(380.28)=5.4076473427156
log 3(380.29)=5.4076712784277
log 3(380.3)=5.4076952135104
log 3(380.31)=5.4077191479637
log 3(380.32)=5.4077430817877
log 3(380.33)=5.4077670149823
log 3(380.34)=5.4077909475478
log 3(380.35)=5.4078148794839
log 3(380.36)=5.4078388107909
log 3(380.37)=5.4078627414687
log 3(380.38)=5.4078866715174
log 3(380.39)=5.407910600937
log 3(380.4)=5.4079345297275
log 3(380.41)=5.407958457889
log 3(380.42)=5.4079823854215
log 3(380.43)=5.408006312325
log 3(380.44)=5.4080302385995
log 3(380.45)=5.4080541642452
log 3(380.46)=5.408078089262
log 3(380.47)=5.40810201365
log 3(380.48)=5.4081259374091
log 3(380.49)=5.4081498605395
log 3(380.5)=5.4081737830412
log 3(380.51)=5.4081977049141

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