Log Base 0.5 of 32

Logarithm Calculator
Log base
x

What is log base 0.5 of 32?

Answer

log0.5 32 =
−5

log0.5 is the log base 0.5.

log0.5 32 is the power you raise 0.5 to, to get 32: 0.5y = 32.

0.5⁻⁵ = 2⁵ = 32 ✓

Oxy

Answer point (32, −5).

The curve y = log0.5 x passes through (1, 0) and (0.5, 1) and falls: for x > 1 the log is negative, for 0 < x < 1 positive.

Log of 32 in different bases
BaseNotationValue
eln 32≈ 3.4657
10log 32≈ 1.5051
2log₂ 325
0.5log₀.₅ 32−5

See Also

Log base 0.5 of nearby numbers

xlog₀.₅ x
4−2
8−3
16−4
32−5

FAQ

What is log base 0.5 of 32?

log base 0.5 of 32 = −5

How to find log base 0.5 of 32 without a calculator?

Write 32 as a power of 0.5: 32 = 0.5⁻⁵. The exponent is the answer: log base 0.5 of 32 = −5.

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.