Log of 81 (Base 10)

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What is log 81?

Answer

log 81 ≈
1.9085

log here is the common log, base 10.

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

log 81 is the power you raise 10 to, to get 81: 10y = 81.

10¹ = 10 < 81 < 100 = 10², so 1 < log 81 < 2

log 81 = ln 81 / ln 10 ≈ 4.394449 / 2.302585 ≈ 1.9085

Oxy

Answer point ≈ (81, 1.9085).

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 81 in different bases
BaseNotationValue
eln 81≈ 4.3944
10log 81≈ 1.9085
2log₂ 81≈ 6.3399

See Also

Common log of nearby numbers

FAQ

What is log 81?

log 81 ≈ 1.9085

What is the difference between log 81 and ln 81?

ln 81 is the logarithm to base e, log 81 is to base 10: ln 81 ≈ 4.3944, log 81 ≈ 1.9085. One is the other divided by ln 10: log 81 = ln 81 / ln 10 ≈ 1.9085.

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.