Log of 5 (Base 10)

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What is log 5?

Answer

log 5 ≈
0.6990

log here is the common log, base 10.

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

log 5 is the power you raise 10 to, to get 5: 10y = 5.

10⁰ = 1 < 5 < 10 = 10¹, so 0 < log 5 < 1

log 5 = ln 5 / ln 10 ≈ 1.609438 / 2.302585 ≈ 0.6990

Oxy

Answer point ≈ (5, 0.6990).

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 5 in different bases
BaseNotationValue
eln 5≈ 1.6094
10log 5≈ 0.6990
2log₂ 5≈ 2.3219

See Also

Common log of nearby numbers

FAQ

What is log 5?

log 5 ≈ 0.6990

What is the difference between log 5 and ln 5?

ln 5 is the logarithm to base e, log 5 is to base 10: ln 5 ≈ 1.6094, log 5 ≈ 0.6990. One is the other divided by ln 10: log 5 = ln 5 / ln 10 ≈ 0.6990.

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.