Log of 2 (Base 10)

Logarithm Calculator
Log base
x

What is log 2?

Answer

log 2 ≈
0.3010

log here is the common log, base 10.

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

log 2 is the power you raise 10 to, to get 2: 10y = 2.

10⁰ = 1 < 2 < 10 = 10¹, so 0 < log 2 < 1

log 2 = ln 2 / ln 10 ≈ 0.693147 / 2.302585 ≈ 0.3010

Oxy

Answer point ≈ (2, 0.3010).

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 2 in different bases
BaseNotationValue
eln 2≈ 0.6931
10log 2≈ 0.3010
2log₂ 21

See Also

Common log of nearby numbers

FAQ

What is log 2?

log 2 ≈ 0.3010

What is the difference between log 2 and ln 2?

ln 2 is the logarithm to base e, log 2 is to base 10: ln 2 ≈ 0.6931, log 2 ≈ 0.3010. One is the other divided by ln 10: log 2 = ln 2 / ln 10 ≈ 0.3010.

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.