Log Base 6 of 7

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Log base
x

What is log₆ 7?

Answer

log6 7 ≈
1.0860

log6 is the log base 6.

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

log6 7 is the power you raise 6 to, to get 7: 6y = 7.

6¹ = 6 < 7 < 36 = 6², so 1 < log6 7 < 2

log6 7 = ln 7 / ln 6 ≈ 1.945910 / 1.791759 ≈ 1.0860

Oxy1

Answer point ≈ (7, 1.0860).

The curve y = log6 x passes through (1, 0) and (6, 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
6log₆ 7≈ 1.0860

See Also

Recalculate with different values ↑

Log base 6 of nearby numbers

xlog₆ x
10
7≈ 1.0860
362

FAQ

What is log₆ 7?

log₆ 7 ≈ 1.0860

How to calculate log₆ 7 on a calculator?

Divide the natural logs: log₆ 7 = ln 7 / ln 6 ≈ 1.945910 / 1.791759 ≈ 1.0860.

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