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Popular >

simplify ((ln(x))^{x^2})^{-1}

Solution

simplify

((ln (x))^{x^{2}})^{- 1}

Solution

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

Solution steps

((ln (x))^{x^{2}})^{- 1}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= (ln (x))^{x^{2} (- 1)}

Simplify

x^{2} (- 1) : - x^{2}

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

Remove parentheses:

(a) = a

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

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Frequently Asked Questions (FAQ)

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