Log Base 5 of 25

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Log base
x

What is log₅ 25?

Answer

log5 25 =
2

log5 is the log base 5.

log5 25 is the power you raise 5 to, to get 25: 5y = 25.

5² = 25 ✓

Oxy

Answer point (25, 2).

The curve y = log5 x passes through (1, 0) and (5, 1) and rises: for x > 1 the log is positive, for 0 < x < 1 negative.

Log of 25 in different bases
BaseNotationValue
eln 25≈ 3.2189
10log 25≈ 1.3979
2log₂ 25≈ 4.6439
5log₅ 252

See Also

Log base 5 of nearby numbers

FAQ

What is log₅ 25?

log₅ 25 = 2

How to find log₅ 25 without a calculator?

Write 25 as a power of 5: 25 = 5². The exponent is the answer: log₅ 25 = 2.

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.