Natural Log of 5

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What is ln 5?

Answer

ln 5 ≈
1.6094

ln is the natural log, base e ≈ 2.71828.

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

ln 5 is the power you raise e ≈ 2.71828 to, to get 5: ey = 5.

e¹ ≈ 2.7183 < 5 < e² ≈ 7.3891, so 1 < ln 5 < 2

Oxy1

Answer point ≈ (5, 1.6094).

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 5 in different bases
BaseNotationValue
eln 5≈ 1.6094
10log 5≈ 0.6990
2log₂ 5≈ 2.3219

See Also

Recalculate with different values ↑

Natural log of nearby numbers

xln x
e1
3≈ 1.0986
4≈ 1.3863
5≈ 1.6094
6≈ 1.7918
7≈ 1.9459
8≈ 2.0794

FAQ

What is ln 5?

ln 5 ≈ 1.6094

What is the difference between ln 5 and log 5?

ln 5 is the logarithm to base e, log 5 is to base 10: ln 5 ≈ 1.6094, log 5 ≈ 0.6990. One is the other divided by ln 10: log 5 = ln 5 / ln 10 ≈ 0.6990.

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