Log Base 25 of 5

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Log base
x

What is log₂₅ 5?

Answer

log25 5 =
1/2 = 0.5

log25 is the log base 25.

log25 5 is the power you raise 25 to, to get 5: 25y = 5.

251/2 = √25 = 5 ✓

Oxy

Answer point (5, 1/2).

The curve y = log25 x passes through (1, 0) and (25, 1) and rises: for x > 1 the log is positive, for 0 < x < 1 negative.

Log of 5 in different bases
BaseNotationValue
eln 5≈ 1.6094
10log 5≈ 0.6990
2log₂ 5≈ 2.3219
25log₂₅ 51/2

See Also

Log base 25 of nearby numbers

xlog₂₅ x
51/2

FAQ

What is log₂₅ 5?

log₂₅ 5 = 1/2 = 0.5

Why is log₂₅ 5 a fraction?

Both numbers are powers of 5: 25 = 5² and 5 = 5¹, so 5 = 25^(1/2) and log₂₅ 5 = 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.