Log Base 100 of 10

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What is log₁₀₀ 10?

Answer

log100 10 =
1/2 = 0.5

log100 is the log base 100.

log100 10 is the power you raise 100 to, to get 10: 100y = 10.

1001/2 = √100 = 10 ✓

Oxy

Answer point (10, 1/2).

The curve y = log100 x passes through (1, 0) and (100, 1) and rises: for x > 1 the log is positive, for 0 < x < 1 negative.

Log of 10 in different bases
BaseNotationValue
eln 10≈ 2.3026
10log 101
2log₂ 10≈ 3.3219
100log₁₀₀ 101/2

See Also

Log base 100 of nearby numbers

xlog₁₀₀ x
101/2

FAQ

What is log₁₀₀ 10?

log₁₀₀ 10 = 1/2 = 0.5

Why is log₁₀₀ 10 a fraction?

Both numbers are powers of 10: 100 = 10² and 10 = 10¹, so 10 = 100^(1/2) and log₁₀₀ 10 = 1/2 = 0.5.

What does log without a base mean?

At school and on a calculator, log x without a base is the common log, base 10: log 100 = 2. In Python, math.log(x) is the natural log ln x; in Excel, LN is the natural log and LOG is base 10.