Log of 0.05 (Base 10)

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What is log 0.05?

Answer

log 0.05 ≈
−1.3010

log here is the common log, base 10.

≈ — the logarithm is irrational; the value is rounded to 4 decimal places.

log 0.05 is the power you raise 10 to, to get 0.05: 10y = 0.05.

10⁻² = 1/100 < 0.05 < 1/10 = 10⁻¹, so −2 < log 0.05 < −1

log 0.05 = ln 0.05 / ln 10 ≈ −2.995732 / 2.302585 ≈ −1.3010

Oxy

Answer point ≈ (0.05, −1.3010).

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 0.05 in different bases
BaseNotationValue
eln 0.05≈ −2.9957
10log 0.05≈ −1.3010
2log₂ 0.05≈ −4.3219

See Also

Recalculate with different values ↑

Common log of nearby numbers

xlog x
−1does not exist
0does not exist
0.01−2
0.05≈ −1.3010
0.1−1
0.3≈ −0.5229
0.8≈ −0.0969

FAQ

What is log 0.05?

log 0.05 ≈ −1.3010

What is the difference between log 0.05 and ln 0.05?

ln 0.05 is the logarithm to base e, log 0.05 is to base 10: ln 0.05 ≈ −2.9957, log 0.05 ≈ −1.3010. One is the other divided by ln 10: log 0.05 = ln 0.05 / ln 10 ≈ −1.3010.

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.

See Also