Log of 512 (Base 10)

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What is log 512?

Answer

log 512 ≈
2.7093

log here is the common log, base 10.

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

log 512 is the power you raise 10 to, to get 512: 10y = 512.

10² = 100 < 512 < 1,000 = 10³, so 2 < log 512 < 3

log 512 = ln 512 / ln 10 ≈ 6.238325 / 2.302585 ≈ 2.7093

Oxy

Answer point ≈ (512, 2.7093), beyond the drawing (the arrow points to it).

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 512 in different bases
BaseNotationValue
eln 512≈ 6.2383
10log 512≈ 2.7093
2log₂ 5129

See Also

Recalculate with different values ↑

Common log of nearby numbers

xlog x
80≈ 1.9031
81≈ 1.9085
1002
200≈ 2.3010
512≈ 2.7093
1,0003
7,000,000≈ 6.8451

FAQ

What is log 512?

log 512 ≈ 2.7093

What is the difference between log 512 and ln 512?

ln 512 is the logarithm to base e, log 512 is to base 10: ln 512 ≈ 6.2383, log 512 ≈ 2.7093. One is the other divided by ln 10: log 512 = ln 512 / ln 10 ≈ 2.7093.

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.

See Also