Natural Log of 18

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What is ln 18?

Answer

ln 18 ≈
2.8904

ln is the natural log, base e ≈ 2.71828.

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

ln 18 is the power you raise e ≈ 2.71828 to, to get 18: ey = 18.

e² ≈ 7.3891 < 18 < e³ ≈ 20.0855, so 2 < ln 18 < 3

Oxy

Answer point ≈ (18, 2.8904).

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 18 in different bases
BaseNotationValue
eln 18≈ 2.8904
10log 18≈ 1.2553
2log₂ 18≈ 4.1699

See Also

FAQ

What is ln 18?

ln 18 ≈ 2.8904

What is the difference between ln 18 and log 18?

ln 18 is the logarithm to base e, log 18 is to base 10: ln 18 ≈ 2.8904, log 18 ≈ 1.2553. One is the other divided by ln 10: log 18 = ln 18 / ln 10 ≈ 1.2553.

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.