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Prove that2^(sqrt((log)a4sqrt(a b)+(log)...

Prove that`2^(sqrt((log)_a4sqrt(a b)+(log)_b4sqrt(a b))-(log)_a4sqrt(b/a)+(log)_b4sqrt(a/b))dotsqrt((log)_a b)={2ifbgeqa >1 and 2^(log_a(b)` if ` 1 < b < a`

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The correct Answer is:
`therefore` `2^(Psqrtlog_ab)` = `2^(log_ab` .
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