Log Base 0.5 of 8

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What is log base 0.5 of 8?

Answer

log0.5 8 =
−3

log0.5 is the log base 0.5.

log0.5 8 is the power you raise 0.5 to, to get 8: 0.5y = 8.

0.5⁻³ = 2³ = 8 ✓

Oxy1

Answer point (8, −3).

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 8 in different bases
BaseNotationValue
eln 8≈ 2.0794
10log 8≈ 0.9031
2log₂ 83
0.5log₀.₅ 8−3

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 8?

log base 0.5 of 8 = −3

How to find log base 0.5 of 8 without a calculator?

Write 8 as a power of 0.5: 8 = 0.5⁻³. The exponent is the answer: log base 0.5 of 8 = −3.

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.