Log Base 0.5 of 4

Logarithm Calculator
Log base
x

What is log base 0.5 of 4?

Answer

log0.5 4 =
−2

log0.5 is the log base 0.5.

log0.5 4 is the power you raise 0.5 to, to get 4: 0.5y = 4.

0.5⁻² = 2² = 4 ✓

Oxy1

Answer point (4, −2).

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 4 in different bases
BaseNotationValue
eln 4≈ 1.3863
10log 4≈ 0.6021
2log₂ 42
0.5log₀.₅ 4−2

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 4?

log base 0.5 of 4 = −2

How to find log base 0.5 of 4 without a calculator?

Write 4 as a power of 0.5: 4 = 0.5⁻². The exponent is the answer: log base 0.5 of 4 = −2.

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.