Log Base 0.5 of 16

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What is log base 0.5 of 16?

Answer

log0.5 16 =
−4

log0.5 is the log base 0.5.

log0.5 16 is the power you raise 0.5 to, to get 16: 0.5y = 16.

0.5⁻⁴ = 2⁴ = 16 ✓

Oxy

Answer point (16, −4).

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 16 in different bases
BaseNotationValue
eln 16≈ 2.7726
10log 16≈ 1.2041
2log₂ 164
0.5log₀.₅ 16−4

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 16?

log base 0.5 of 16 = −4

How to find log base 0.5 of 16 without a calculator?

Write 16 as a power of 0.5: 16 = 0.5⁻⁴. The exponent is the answer: log base 0.5 of 16 = −4.

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.