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Popular >

simplify (ln(x^2))^{-2}

Solution

simplify

(ln (x^{2}))^{- 2}

Solution

\frac{1}{4 ln ^{2} ( x )}

Solution steps

(ln (x^{2}))^{- 2}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{( ln ( x ^{2} ) ) ^{2}}

ln^{2} (x^{2}) = 2^{2} ln^{2} (x)

= \frac{1}{2 ^{2} ln ^{2} ( x )}

2^{2} = 4

= \frac{1}{4 ln ^{2} ( x )}

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Frequently Asked Questions (FAQ)

What is (ln(x^2))^{-2} ?
The solution to (ln(x^2))^{-2} is 1/(4ln^2(x))