Log Base 7 of 8

Logarithm Calculator
Log base
x

What is log₇ 8?

Answer

log7 8 ≈
1.0686

log7 is the log base 7.

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

log7 8 is the power you raise 7 to, to get 8: 7y = 8.

7¹ = 7 < 8 < 49 = 7², so 1 < log7 8 < 2

log7 8 = ln 8 / ln 7 ≈ 2.079442 / 1.945910 ≈ 1.0686

Oxy1

Answer point ≈ (8, 1.0686).

The curve y = log7 x passes through (1, 0) and (7, 1) and rises: for x > 1 the log is positive, for 0 < x < 1 negative.

Log of 8 in different bases
BaseNotationValue
eln 8≈ 2.0794
10log 8≈ 0.9031
2log₂ 83
7log₇ 8≈ 1.0686

See Also

Log base 7 of nearby numbers

xlog₇ x
10
71
8≈ 1.0686
3433

FAQ

What is log₇ 8?

log₇ 8 ≈ 1.0686

How to calculate log₇ 8 on a calculator?

Divide the natural logs: log₇ 8 = ln 8 / ln 7 ≈ 2.079442 / 1.945910 ≈ 1.0686.

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.