Natural Log of 14

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What is ln 14?

Answer

ln 14 ≈
2.6391

ln is the natural log, base e ≈ 2.71828.

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

ln 14 is the power you raise e ≈ 2.71828 to, to get 14: ey = 14.

e² ≈ 7.3891 < 14 < e³ ≈ 20.0855, so 2 < ln 14 < 3

Oxy

Answer point ≈ (14, 2.6391).

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 14 in different bases
BaseNotationValue
eln 14≈ 2.6391
10log 14≈ 1.1461
2log₂ 14≈ 3.8074

See Also

Recalculate with different values ↑

Natural log of nearby numbers

xln x
8≈ 2.0794
9≈ 2.1972
10≈ 2.3026
14≈ 2.6391
16≈ 2.7726
18≈ 2.8904
20≈ 2.9957

FAQ

What is ln 14?

ln 14 ≈ 2.6391

What is the difference between ln 14 and log 14?

ln 14 is the logarithm to base e, log 14 is to base 10: ln 14 ≈ 2.6391, log 14 ≈ 1.1461. One is the other divided by ln 10: log 14 = ln 14 / ln 10 ≈ 1.1461.

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