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Popular >

simplify (ln^2(2e)-ln(2))/2

Solution

simplify

\frac{ln ^{2} ( 2 e ) - ln ( 2 )}{2}

Solution

\frac{1}{2}

+1

Solution steps

\frac{ln ^{2} ( 2 e ) - ln ( 2 )}{2}

Apply log rule:

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

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

= \frac{ln ^{2} ( \frac{2 e}{2} )}{2}

Divide the numbers:

\frac{2}{2} = 1

= \frac{ln ^{2} ( e )}{2}

ln^{2} (e) = 1

= \frac{1}{2}

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Frequently Asked Questions (FAQ)

What is (ln^2(2e)-ln(2))/2 ?
The solution to (ln^2(2e)-ln(2))/2 is 1/2