Log Base 2 of 0.5

Logarithm Calculator
Log base
x

What is log₂ 0.5?

Answer

log2 0.5 =
−1

log2 is the log base 2.

log2 0.5 is the power you raise 2 to, to get 0.5: 2y = 0.5.

2⁻¹ = 1/2 = 0.5 ✓

Oxy1

Answer point (0.5, −1).

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 0.5 in different bases
BaseNotationValue
eln 0.5≈ −0.6931
10log 0.5≈ −0.3010
2log₂ 0.5−1

See Also

Log base 2 of nearby numbers

FAQ

What is log₂ 0.5?

log₂ 0.5 = −1

How to find log₂ 0.5 without a calculator?

Write 0.5 as a power of 2: 0.5 = 2⁻¹. The exponent is the answer: log₂ 0.5 = −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.