Natural Log of 30

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What is ln 30?

Answer

ln 30 ≈
3.4012

ln is the natural log, base e ≈ 2.71828.

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

ln 30 is the power you raise e ≈ 2.71828 to, to get 30: ey = 30.

e³ ≈ 20.0855 < 30 < e⁴ ≈ 54.5982, so 3 < ln 30 < 4

Oxy

Answer point ≈ (30, 3.4012).

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 30 in different bases
BaseNotationValue
eln 30≈ 3.4012
10log 30≈ 1.4771
2log₂ 30≈ 4.9069

See Also

Recalculate with different values ↑

Natural log of nearby numbers

xln x
18≈ 2.8904
20≈ 2.9957
21≈ 3.0445
30≈ 3.4012
40≈ 3.6889
42≈ 3.7377
50≈ 3.9120

FAQ

What is ln 30?

ln 30 ≈ 3.4012

What is the difference between ln 30 and log 30?

ln 30 is the logarithm to base e, log 30 is to base 10: ln 30 ≈ 3.4012, log 30 ≈ 1.4771. One is the other divided by ln 10: log 30 = ln 30 / ln 10 ≈ 1.4771.

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