Log of 15 (Base 10)

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What is log 15?

Answer

log 15 ≈
1.1761

log here is the common log, base 10.

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

log 15 is the power you raise 10 to, to get 15: 10y = 15.

10¹ = 10 < 15 < 100 = 10², so 1 < log 15 < 2

log 15 = ln 15 / ln 10 ≈ 2.708050 / 2.302585 ≈ 1.1761

Oxy

Answer point ≈ (15, 1.1761).

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 15 in different bases
BaseNotationValue
eln 15≈ 2.7081
10log 15≈ 1.1761
2log₂ 15≈ 3.9069

See Also

Common log of nearby numbers

FAQ

What is log 15?

log 15 ≈ 1.1761

What is the difference between log 15 and ln 15?

ln 15 is the logarithm to base e, log 15 is to base 10: ln 15 ≈ 2.7081, log 15 ≈ 1.1761. One is the other divided by ln 10: log 15 = ln 15 / ln 10 ≈ 1.1761.

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.