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Popular >

simplify 1/5 ln(5/4)

Solution

simplify

\frac{1}{5} ln (\frac{5}{4})

Solution

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

+1

Decimal Notation

0.04462 \dots

Solution steps

\frac{1}{5} ln (\frac{5}{4})

Apply log rule:

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

ln (\frac{5}{4}) = ln (5) - ln (4)

= \frac{1}{5} (ln (5) - ln (4))

ln (4) = 2 ln (2)

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

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Frequently Asked Questions (FAQ)

What is 1/5 ln(5/4) ?
The solution to 1/5 ln(5/4) is 1/5 (ln(5)-2ln(2))