Natural Log of 6

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Log base
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What is ln 6?

Answer

ln 6 ≈
1.7918

ln is the natural log, base e ≈ 2.71828.

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

ln 6 is the power you raise e ≈ 2.71828 to, to get 6: ey = 6.

e¹ ≈ 2.7183 < 6 < e² ≈ 7.3891, so 1 < ln 6 < 2

Oxy1

Answer point ≈ (6, 1.7918).

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 6 in different bases
BaseNotationValue
eln 6≈ 1.7918
10log 6≈ 0.7782
2log₂ 6≈ 2.5850

See Also

Recalculate with different values ↑

Natural log of nearby numbers

xln x
3≈ 1.0986
4≈ 1.3863
5≈ 1.6094
6≈ 1.7918
7≈ 1.9459
8≈ 2.0794
9≈ 2.1972

FAQ

What is ln 6?

ln 6 ≈ 1.7918

What is the difference between ln 6 and log 6?

ln 6 is the logarithm to base e, log 6 is to base 10: ln 6 ≈ 1.7918, log 6 ≈ 0.7782. One is the other divided by ln 10: log 6 = ln 6 / ln 10 ≈ 0.7782.

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