Natural Log of 20

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What is ln 20?

Answer

ln 20 ≈
2.9957

ln is the natural log, base e ≈ 2.71828.

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

ln 20 is the power you raise e ≈ 2.71828 to, to get 20: ey = 20.

e² ≈ 7.3891 < 20 < e³ ≈ 20.0855, so 2 < ln 20 < 3

Oxy

Answer point ≈ (20, 2.9957).

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 20 in different bases
BaseNotationValue
eln 20≈ 2.9957
10log 20≈ 1.3010
2log₂ 20≈ 4.3219

See Also

Recalculate with different values ↑

Natural log of nearby numbers

xln x
14≈ 2.6391
16≈ 2.7726
18≈ 2.8904
20≈ 2.9957
21≈ 3.0445
30≈ 3.4012
40≈ 3.6889

FAQ

What is ln 20?

ln 20 ≈ 2.9957

What is the difference between ln 20 and log 20?

ln 20 is the logarithm to base e, log 20 is to base 10: ln 20 ≈ 2.9957, log 20 ≈ 1.3010. One is the other divided by ln 10: log 20 = ln 20 / ln 10 ≈ 1.3010.

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.

See Also