Log of e (Base 10)

Logarithm Calculator
Log base
x

What is log e?

Answer

log e ≈
0.4343

log here is the common log, base 10.

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

log e is the power you raise 10 to, to get e: 10y = e.

10⁰ = 1 < e < 10 = 10¹, so 0 < log e < 1

log e = 1 / ln 10 ≈ 1 / 2.302585 ≈ 0.4343

Oxy

Answer point ≈ (e, 0.4343).

The curve y = log x passes through (1, 0) and (10, 1) and rises: for x > 1 the log is positive, for 0 < x < 1 negative.

Log of e in different bases
BaseNotationValue
eln e1
10log e≈ 0.4343
2log₂ e≈ 1.4427

See Also

Common log of nearby numbers

FAQ

What is log e?

log e ≈ 0.4343

What is the difference between log e and ln e?

ln e is the logarithm to base e, log e is to base 10: ln e = 1, log e ≈ 0.4343. One is the other divided by ln 10: log e = ln e / ln 10 ≈ 0.4343.

What is e?

e ≈ 2.71828 is the base of the natural logarithm: ln x is the logarithm of x to base e, so ln e = 1. It is an irrational number, like π.