Log of 8 (Base 10)

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What is log 8?

Answer

log 8 ≈
0.9031

log here is the common log, base 10.

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

log 8 is the power you raise 10 to, to get 8: 10y = 8.

10⁰ = 1 < 8 < 10 = 10¹, so 0 < log 8 < 1

log 8 = ln 8 / ln 10 ≈ 2.079442 / 2.302585 ≈ 0.9031

Oxy

Answer point ≈ (8, 0.9031).

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 8 in different bases
BaseNotationValue
eln 8≈ 2.0794
10log 8≈ 0.9031
2log₂ 83

See Also

Common log of nearby numbers

FAQ

What is log 8?

log 8 ≈ 0.9031

What is the difference between log 8 and ln 8?

ln 8 is the logarithm to base e, log 8 is to base 10: ln 8 ≈ 2.0794, log 8 ≈ 0.9031. One is the other divided by ln 10: log 8 = ln 8 / ln 10 ≈ 0.9031.

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.