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Popular >

simplify pi/4 ln(pi/4)

Solution

simplify

\frac{π}{4} ln (\frac{π}{4})

Solution

\frac{π}{4} (ln (π) - 2 ln (2))

+1

Solution steps

\frac{π}{4} ln (\frac{π}{4})

Apply log rule:

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

ln (\frac{π}{4}) = ln (π) - ln (4)

= \frac{π}{4} (ln (π) - ln (4))

ln (4) = 2 ln (2)

= \frac{π}{4} (ln (π) - 2 ln (2))

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Frequently Asked Questions (FAQ)

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