Log of 512 (Base 10)

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: 10^y = 512.

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

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

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.

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