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Popular >

simplify 3/4 (ln(2)-ln(3/2))

Solution

simplify

\frac{3}{4} (ln (2) - ln (\frac{3}{2}))

Solution

\frac{3}{4} ln (\frac{4}{3})

+1

Decimal Notation

0.21576 \dots

Solution steps

\frac{3}{4} (ln (2) - ln (\frac{3}{2}))

Apply log rule:

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

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

= \frac{3}{4} ln (\frac{2}{\frac{3}{2}})

\frac{2}{\frac{3}{2}} = \frac{4}{3}

= \frac{3}{4} ln (\frac{4}{3})

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Frequently Asked Questions (FAQ)

What is 3/4 (ln(2)-ln(3/2)) ?
The solution to 3/4 (ln(2)-ln(3/2)) is 3/4 ln(4/3)