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Popular >

simplify (3/2)^2*ln(3/2)

Solution

simplify

(\frac{3}{2})^{2} \cdot ln (\frac{3}{2})

Solution

\frac{9}{4} (ln (3) - ln (2))

+1

Decimal Notation

0.91229 \dots

Solution steps

(\frac{3}{2})^{2} ln (\frac{3}{2})

Apply log rule:

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

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

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

(\frac{3}{2})^{2} = \frac{3 ^{2}}{2 ^{2}}

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

\frac{3 ^{2}}{2 ^{2}} = \frac{9}{4}

= \frac{9}{4} (ln (3) - ln (2))

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Frequently Asked Questions (FAQ)

What is (3/2)^2*ln(3/2) ?
The solution to (3/2)^2*ln(3/2) is 9/4 (ln(3)-ln(2))