Log of 16 (Base 10)

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Log base
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What is log 16?

Answer

log 16 ≈
1.2041

log here is the common log, base 10.

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

log 16 is the power you raise 10 to, to get 16: 10y = 16.

10¹ = 10 < 16 < 100 = 10², so 1 < log 16 < 2

log 16 = ln 16 / ln 10 ≈ 2.772589 / 2.302585 ≈ 1.2041

Oxy

Answer point ≈ (16, 1.2041).

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 16 in different bases
BaseNotationValue
eln 16≈ 2.7726
10log 16≈ 1.2041
2log₂ 164

See Also

Common log of nearby numbers

FAQ

What is log 16?

log 16 ≈ 1.2041

What is the difference between log 16 and ln 16?

ln 16 is the logarithm to base e, log 16 is to base 10: ln 16 ≈ 2.7726, log 16 ≈ 1.2041. One is the other divided by ln 10: log 16 = ln 16 / ln 10 ≈ 1.2041.

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.