Log of 4 (Base 10)

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: 10^y = 4.

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

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

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.

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