Log of 27 (Base 10)

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What is log 27?

Answer

log 27 ≈
1.4314

log here is the common log, base 10.

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

log 27 is the power you raise 10 to, to get 27: 10y = 27.

10¹ = 10 < 27 < 100 = 10², so 1 < log 27 < 2

log 27 = ln 27 / ln 10 ≈ 3.295837 / 2.302585 ≈ 1.4314

Oxy

Answer point ≈ (27, 1.4314).

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 27 in different bases
BaseNotationValue
eln 27≈ 3.2958
10log 27≈ 1.4314
2log₂ 27≈ 4.7549

See Also

FAQ

What is log 27?

log 27 ≈ 1.4314

What is the difference between log 27 and ln 27?

ln 27 is the logarithm to base e, log 27 is to base 10: ln 27 ≈ 3.2958, log 27 ≈ 1.4314. One is the other divided by ln 10: log 27 = ln 27 / ln 10 ≈ 1.4314.

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.