Log Base 5 of 9

Logarithm Calculator
Log base
x

What is log₅ 9?

Answer

log5 9 ≈
1.3652

log5 is the log base 5.

≈ — the logarithm is irrational; the value is rounded to 4 decimal places.

log5 9 is the power you raise 5 to, to get 9: 5y = 9.

5¹ = 5 < 9 < 25 = 5², so 1 < log5 9 < 2

log5 9 = ln 9 / ln 5 ≈ 2.197225 / 1.609438 ≈ 1.3652

Oxy

Answer point ≈ (9, 1.3652).

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 9 in different bases
BaseNotationValue
eln 9≈ 2.1972
10log 9≈ 0.9542
2log₂ 9≈ 3.1699
5log₅ 9≈ 1.3652

See Also

Recalculate with different values ↑

Log base 5 of nearby numbers

xlog₅ x
4≈ 0.8614
51
7≈ 1.2091
9≈ 1.3652
10≈ 1.4307
252
1253

FAQ

What is log₅ 9?

log₅ 9 ≈ 1.3652

How to calculate log₅ 9 on a calculator?

Divide the natural logs: log₅ 9 = ln 9 / ln 5 ≈ 2.197225 / 1.609438 ≈ 1.3652.

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.

See Also