Log of 4 (Base 10)

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Log base
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What is log 4?

Answer

log 4 ≈
0.6021

log here is the common log, base 10.

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

log 4 is the power you raise 10 to, to get 4: 10y = 4.

10⁰ = 1 < 4 < 10 = 10¹, so 0 < log 4 < 1

log 4 = ln 4 / ln 10 ≈ 1.386294 / 2.302585 ≈ 0.6021

Oxy

Answer point ≈ (4, 0.6021).

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 4 in different bases
BaseNotationValue
eln 4≈ 1.3863
10log 4≈ 0.6021
2log₂ 42

See Also

Common log of nearby numbers

FAQ

What is log 4?

log 4 ≈ 0.6021

What is the difference between log 4 and ln 4?

ln 4 is the logarithm to base e, log 4 is to base 10: ln 4 ≈ 1.3863, log 4 ≈ 0.6021. One is the other divided by ln 10: log 4 = ln 4 / ln 10 ≈ 0.6021.

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.