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Popular >

simplify 1/15 ln(5/8)

Solution

simplify

\frac{1}{15} ln (\frac{5}{8})

Solution

\frac{1}{15} (ln (5) - 3 ln (2))

+1

Decimal Notation

- 0.03133 \dots

Solution steps

\frac{1}{15} ln (\frac{5}{8})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{5}{8}) = ln (5) - ln (8)

= \frac{1}{15} (ln (5) - ln (8))

ln (8) = 3 ln (2)

= \frac{1}{15} (ln (5) - 3 ln (2))

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Frequently Asked Questions (FAQ)

What is 1/15 ln(5/8) ?
The solution to 1/15 ln(5/8) is 1/15 (ln(5)-3ln(2))