Log Base 5 of 10

Logarithm Calculator
Log base
x

What is log₅ 10?

Answer

log5 10 ≈
1.4307

log5 is the log base 5.

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

log5 10 is the power you raise 5 to, to get 10: 5y = 10.

5¹ = 5 < 10 < 25 = 5², so 1 < log5 10 < 2

log5 10 = ln 10 / ln 5 ≈ 2.302585 / 1.609438 ≈ 1.4307

Oxy

Answer point ≈ (10, 1.4307).

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 10 in different bases
BaseNotationValue
eln 10≈ 2.3026
10log 101
2log₂ 10≈ 3.3219
5log₅ 10≈ 1.4307

See Also

Recalculate with different values ↑

Log base 5 of nearby numbers

xlog₅ x
51
7≈ 1.2091
9≈ 1.3652
10≈ 1.4307
252
1253
6254

FAQ

What is log₅ 10?

log₅ 10 ≈ 1.4307

How to calculate log₅ 10 on a calculator?

Divide the natural logs: log₅ 10 = ln 10 / ln 5 ≈ 2.302585 / 1.609438 ≈ 1.4307.

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