Log of 6 (Base 10)

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What is log 6?

Answer

log 6 ≈
0.7782

log here is the common log, base 10.

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

log 6 is the power you raise 10 to, to get 6: 10y = 6.

10⁰ = 1 < 6 < 10 = 10¹, so 0 < log 6 < 1

log 6 = ln 6 / ln 10 ≈ 1.791759 / 2.302585 ≈ 0.7782

Oxy

Answer point ≈ (6, 0.7782).

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 6 in different bases
BaseNotationValue
eln 6≈ 1.7918
10log 6≈ 0.7782
2log₂ 6≈ 2.5850

See Also

Common log of nearby numbers

FAQ

What is log 6?

log 6 ≈ 0.7782

What is the difference between log 6 and ln 6?

ln 6 is the logarithm to base e, log 6 is to base 10: ln 6 ≈ 1.7918, log 6 ≈ 0.7782. One is the other divided by ln 10: log 6 = ln 6 / ln 10 ≈ 0.7782.

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.