Log Base 5 of 7

Logarithm Calculator
Log base
x

What is log₅ 7?

Answer

log5 7 ≈
1.2091

log5 is the log base 5.

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

log5 7 is the power you raise 5 to, to get 7: 5y = 7.

5¹ = 5 < 7 < 25 = 5², so 1 < log5 7 < 2

log5 7 = ln 7 / ln 5 ≈ 1.945910 / 1.609438 ≈ 1.2091

Oxy1

Answer point ≈ (7, 1.2091).

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 7 in different bases
BaseNotationValue
eln 7≈ 1.9459
10log 7≈ 0.8451
2log₂ 7≈ 2.8074
5log₅ 7≈ 1.2091

See Also

Log base 5 of nearby numbers

FAQ

What is log₅ 7?

log₅ 7 ≈ 1.2091

How to calculate log₅ 7 on a calculator?

Divide the natural logs: log₅ 7 = ln 7 / ln 5 ≈ 1.945910 / 1.609438 ≈ 1.2091.

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.