Log Base 4 of 6

Logarithm Calculator
Log base
x

What is log₄ 6?

Answer

log4 6 ≈
1.2925

log4 is the log base 4.

≈ — the logarithm is irrational; the value is rounded to 4 decimal places.

log4 6 is the power you raise 4 to, to get 6: 4y = 6.

4¹ = 4 < 6 < 16 = 4², so 1 < log4 6 < 2

log4 6 = ln 6 / ln 4 ≈ 1.791759 / 1.386294 ≈ 1.2925

Oxy1

Answer point ≈ (6, 1.2925).

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 6 in different bases
BaseNotationValue
eln 6≈ 1.7918
10log 6≈ 0.7782
2log₂ 6≈ 2.5850
4log₄ 6≈ 1.2925

See Also

Log base 4 of nearby numbers

FAQ

What is log₄ 6?

log₄ 6 ≈ 1.2925

How to calculate log₄ 6 on a calculator?

Divide the natural logs: log₄ 6 = ln 6 / ln 4 ≈ 1.791759 / 1.386294 ≈ 1.2925.

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.