Log Base 4 of 4

Logarithm Calculator
Log base
x

What is log₄ 4?

Answer

log4 4 =
1

log4 is the log base 4.

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

4¹ = 4 ✓

Oxy1

Answer point (4, 1).

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 4 in different bases
BaseNotationValue
eln 4≈ 1.3863
10log 4≈ 0.6021
2log₂ 42
4log₄ 41

See Also

Log base 4 of nearby numbers

FAQ

What is log₄ 4?

log₄ 4 = 1

How to find log₄ 4 without a calculator?

Write 4 as a power of 4: 4 = 4¹. The exponent is the answer: log₄ 4 = 1.

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.