$\"\"$

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The function is $\"\"$ and $\"\"$ .

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If $\"\"$ and $\"\"$ are inverse functions then $\"\"$ .

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Consider $\"\"$ .

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$\"\"$

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$\"\"$

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Exponential power property : $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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Consider $\"\"$ .

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$\"\"$

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$\"\"$

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Logarithm power property : $\"\"$ .

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$\"\"$

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$\"\"$ .

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Therefore, $\"\"$ .

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Hence $\"\"$ and $\"\"$ are inverse functions.

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$\"\"$

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Hence $\"\"$ and $\"\"$ are inverse functions.