Natural Log of 42

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What is ln 42?

Answer

ln 42 ≈
3.7377

ln is the natural log, base e ≈ 2.71828.

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

ln 42 is the power you raise e ≈ 2.71828 to, to get 42: ey = 42.

e³ ≈ 20.0855 < 42 < e⁴ ≈ 54.5982, so 3 < ln 42 < 4

Oxy

Answer point ≈ (42, 3.7377).

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 42 in different bases
BaseNotationValue
eln 42≈ 3.7377
10log 42≈ 1.6232
2log₂ 42≈ 5.3923

See Also

Recalculate with different values ↑

Natural log of nearby numbers

xln x
21≈ 3.0445
30≈ 3.4012
40≈ 3.6889
42≈ 3.7377
50≈ 3.9120
60≈ 4.0943
100≈ 4.6052

FAQ

What is ln 42?

ln 42 ≈ 3.7377

What is the difference between ln 42 and log 42?

ln 42 is the logarithm to base e, log 42 is to base 10: ln 42 ≈ 3.7377, log 42 ≈ 1.6232. One is the other divided by ln 10: log 42 = ln 42 / ln 10 ≈ 1.6232.

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