Log of 0.1 (Base 10)

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What is log 0.1?

Answer

log 0.1 =
−1

log here is the common log, base 10.

log 0.1 is the power you raise 10 to, to get 0.1: 10y = 0.1.

10⁻¹ = 1/10 = 0.1 ✓

Oxy

Answer point (0.1, −1).

The curve y = log x passes through (1, 0) and (10, 1) and rises: for x > 1 the log is positive, for 0 < x < 1 negative.

Log of 0.1 in different bases
BaseNotationValue
eln 0.1≈ −2.3026
10log 0.1−1
2log₂ 0.1≈ −3.3219

See Also

FAQ

What is log 0.1?

log 0.1 = −1

How to find log 0.1 without a calculator?

Write 0.1 as a power of 10: 0.1 = 10⁻¹. The exponent is the answer: log 0.1 = −1.

What is e?

e ≈ 2.71828 is the base of the natural logarithm: ln x is the logarithm of x to base e, so ln e = 1. It is an irrational number, like π.