Natural Log of 7

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What is ln 7?

Answer

ln 7 ≈
1.9459

ln is the natural log, base e ≈ 2.71828.

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

ln 7 is the power you raise e ≈ 2.71828 to, to get 7: ey = 7.

e¹ ≈ 2.7183 < 7 < e² ≈ 7.3891, so 1 < ln 7 < 2

Oxy1

Answer point ≈ (7, 1.9459).

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 7 in different bases
BaseNotationValue
eln 7≈ 1.9459
10log 7≈ 0.8451
2log₂ 7≈ 2.8074

See Also

Recalculate with different values ↑

Natural log of nearby numbers

xln x
4≈ 1.3863
5≈ 1.6094
6≈ 1.7918
7≈ 1.9459
8≈ 2.0794
9≈ 2.1972
10≈ 2.3026

FAQ

What is ln 7?

ln 7 ≈ 1.9459

What is the difference between ln 7 and log 7?

ln 7 is the logarithm to base e, log 7 is to base 10: ln 7 ≈ 1.9459, log 7 ≈ 0.8451. One is the other divided by ln 10: log 7 = ln 7 / ln 10 ≈ 0.8451.

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