Natural Log of 9

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What is ln 9?

Answer

ln 9 ≈
2.1972

ln is the natural log, base e ≈ 2.71828.

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

ln 9 is the power you raise e ≈ 2.71828 to, to get 9: ey = 9.

e² ≈ 7.3891 < 9 < e³ ≈ 20.0855, so 2 < ln 9 < 3

Oxy

Answer point ≈ (9, 2.1972).

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 9 in different bases
BaseNotationValue
eln 9≈ 2.1972
10log 9≈ 0.9542
2log₂ 9≈ 3.1699

See Also

Recalculate with different values ↑

Natural log of nearby numbers

xln x
6≈ 1.7918
7≈ 1.9459
8≈ 2.0794
9≈ 2.1972
10≈ 2.3026
14≈ 2.6391
16≈ 2.7726

FAQ

What is ln 9?

ln 9 ≈ 2.1972

What is the difference between ln 9 and log 9?

ln 9 is the logarithm to base e, log 9 is to base 10: ln 9 ≈ 2.1972, log 9 ≈ 0.9542. One is the other divided by ln 10: log 9 = ln 9 / ln 10 ≈ 0.9542.

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