Log Base 2 of 6

Logarithm Calculator
Log base
x

What is log₂ 6?

Answer

log2 6 ≈
2.5850

log2 is the log base 2.

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

log2 6 is the power you raise 2 to, to get 6: 2y = 6.

2² = 4 < 6 < 8 = 2³, so 2 < log2 6 < 3

log2 6 = ln 6 / ln 2 ≈ 1.791759 / 0.693147 ≈ 2.5850

Oxy1

Answer point ≈ (6, 2.5850).

The curve y = log2 x passes through (1, 0) and (2, 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

See Also

Log base 2 of nearby numbers

FAQ

What is log₂ 6?

log₂ 6 ≈ 2.5850

How to calculate log₂ 6 on a calculator?

Divide the natural logs: log₂ 6 = ln 6 / ln 2 ≈ 1.791759 / 0.693147 ≈ 2.5850.

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.