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Popular >

simplify 2/5 ln(15/4)

Solution

simplify

\frac{2}{5} ln (\frac{15}{4})

Solution

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

+1

Decimal Notation

0.52870 \dots

Solution steps

\frac{2}{5} ln (\frac{15}{4})

Apply log rule:

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

ln (\frac{15}{4}) = ln (15) - ln (4)

= \frac{2}{5} (ln (15) - ln (4))

ln (4) = 2 ln (2)

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

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Frequently Asked Questions (FAQ)

What is 2/5 ln(15/4) ?
The solution to 2/5 ln(15/4) is 2/5 (ln(15)-2ln(2))