Natural Log of 100

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What is ln 100?

Answer

ln 100 ≈
4.6052

ln is the natural log, base e ≈ 2.71828.

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

ln 100 is the power you raise e ≈ 2.71828 to, to get 100: ey = 100.

e⁴ ≈ 54.5982 < 100 < e⁵ ≈ 148.4132, so 4 < ln 100 < 5

Oxy

Answer point ≈ (100, 4.6052).

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 100 in different bases
BaseNotationValue
eln 100≈ 4.6052
10log 1002
2log₂ 100≈ 6.6439

See Also

FAQ

What is ln 100?

ln 100 ≈ 4.6052

What is the difference between ln 100 and log 100?

ln 100 is the logarithm to base e, log 100 is to base 10: ln 100 ≈ 4.6052, log 100 = 2. One is the other divided by ln 10: log 100 = ln 100 / ln 10 = 2.

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.