Natural Log of 2

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Log base
x

What is ln 2?

Answer

ln 2 ≈
0.6931

ln is the natural log, base e ≈ 2.71828.

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

ln 2 is the power you raise e ≈ 2.71828 to, to get 2: ey = 2.

e⁰ = 1 < 2 < e¹ ≈ 2.7183, so 0 < ln 2 < 1

Oxy1

Answer point ≈ (2, 0.6931).

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 2 in different bases
BaseNotationValue
eln 2≈ 0.6931
10log 2≈ 0.3010
2log₂ 21

See Also

Recalculate with different values ↑

Natural log of nearby numbers

xln x
10
1.05≈ 0.0488
1.5≈ 0.4055
2≈ 0.6931
e1
3≈ 1.0986
4≈ 1.3863

FAQ

What is ln 2?

ln 2 ≈ 0.6931

What is the difference between ln 2 and log 2?

ln 2 is the logarithm to base e, log 2 is to base 10: ln 2 ≈ 0.6931, log 2 ≈ 0.3010. One is the other divided by ln 10: log 2 = ln 2 / ln 10 ≈ 0.3010.

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