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Popular >

simplify 1/5 ln(9/8)

Solution

simplify

\frac{1}{5} ln (\frac{9}{8})

Solution

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

+1

Solution steps

\frac{1}{5} ln (\frac{9}{8})

Apply log rule:

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

ln (\frac{9}{8}) = ln (9) - ln (8)

= \frac{1}{5} (ln (9) - ln (8))

ln (9) = 2 ln (3)

ln (8) = 3 ln (2)

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

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Frequently Asked Questions (FAQ)

What is 1/5 ln(9/8) ?
The solution to 1/5 ln(9/8) is 1/5 (2ln(3)-3ln(2))