Natural Log of 16

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What is ln 16?

Answer

ln 16 ≈
2.7726

ln is the natural log, base e ≈ 2.71828.

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

ln 16 is the power you raise e ≈ 2.71828 to, to get 16: ey = 16.

e² ≈ 7.3891 < 16 < e³ ≈ 20.0855, so 2 < ln 16 < 3

Oxy

Answer point ≈ (16, 2.7726).

The curve y = ln x passes through (1, 0) and (e, 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

FAQ

What is ln 16?

ln 16 ≈ 2.7726

What is the difference between ln 16 and log 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 does log without a base mean?

At school and on a calculator, log x without a base is the common log, base 10: log 100 = 2. In Python, math.log(x) is the natural log ln x; in Excel, LN is the natural log and LOG is base 10.