Natural Log of 10

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What is ln 10?

Answer

ln 10 ≈
2.3026

ln is the natural log, base e ≈ 2.71828.

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

ln 10 is the power you raise e ≈ 2.71828 to, to get 10: ey = 10.

e² ≈ 7.3891 < 10 < e³ ≈ 20.0855, so 2 < ln 10 < 3

Oxy

Answer point ≈ (10, 2.3026).

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 10 in different bases
BaseNotationValue
eln 10≈ 2.3026
10log 101
2log₂ 10≈ 3.3219

See Also

Recalculate with different values ↑

Natural log of nearby numbers

xln x
7≈ 1.9459
8≈ 2.0794
9≈ 2.1972
10≈ 2.3026
14≈ 2.6391
16≈ 2.7726
18≈ 2.8904

FAQ

What is ln 10?

ln 10 ≈ 2.3026

What is the difference between ln 10 and log 10?

ln 10 is the logarithm to base e, log 10 is to base 10: ln 10 ≈ 2.3026, log 10 = 1. One is the other divided by ln 10: log 10 = ln 10 / ln 10 = 1.

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