What is (ln^2(10)-ln^2(2)-ln^2(5))/2 ?

The solution to (ln^2(10)-ln^2(2)-ln^2(5))/2 is 0

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simplify (ln^2(10)-ln^2(2)-ln^2(5))/2

simplify

\frac{ln ^{2} ( 10 ) - ln ^{2} ( 2 ) - ln ^{2} ( 5 )}{2}

0

Solution steps

\frac{ln ^{2} ( 10 ) - ln ^{2} ( 2 ) - ln ^{2} ( 5 )}{2}

Apply log rule:

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

ln^{2} (10) - ln^{2} (2) = ln^{2} (\frac{10}{2})

= \frac{ln ^{2} ( \frac{10}{2} ) - ln ^{2} ( 5 )}{2}

Divide the numbers:

\frac{10}{2} = 5

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

Add similar elements:

ln^{2} (5) - ln^{2} (5) = 0

= \frac{0}{2}

Apply rule

\frac{0}{a} = 0, a \neq = 0

= 0

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What is (ln^2(10)-ln^2(2)-ln^2(5))/2 ?
The solution to (ln^2(10)-ln^2(2)-ln^2(5))/2 is 0