Log Base 4 of 64

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x

What is log₄ 64?

Answer

log4 64 =
3

log4 is the log base 4.

log4 64 is the power you raise 4 to, to get 64: 4y = 64.

4³ = 64 ✓

Oxy

Answer point (64, 3).

The curve y = log4 x passes through (1, 0) and (4, 1) and rises: for x > 1 the log is positive, for 0 < x < 1 negative.

Log of 64 in different bases
BaseNotationValue
eln 64≈ 4.1589
10log 64≈ 1.8062
2log₂ 646
4log₄ 643

See Also

Log base 4 of nearby numbers

FAQ

What is log₄ 64?

log₄ 64 = 3

How to find log₄ 64 without a calculator?

Write 64 as a power of 4: 64 = 4³. The exponent is the answer: log₄ 64 = 3.

What does log without a base mean?

At school and on a calculator, log x without a base is the common log, base 10: log 100 = 2. In Python, math.log(x) is the natural log ln x; in Excel, LN is the natural log and LOG is base 10.