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Prove that: 2^(sqrt((log)a4sqrt(a b)+(l...

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 `

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

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2^((sqrt(log_a(ab)^(1/4)+log_b(ab)^(1/4))-sqrt(log_a(b/a)^(1/4)+log_b(a/b)^(1/4)))sqrt(log_a(b)) =

2^((sqrt(log_a(ab)^(1//4)+log_b(ab)^(1//4))-sqrt(log_a(b/a)^(1//4)+log_b(a/b)^(1//4))) sqrt(log_a(b)) =

2^((sqrt(log_a(ab)^(1//4)+log_b(ab)^(1//4))-sqrt(log_a(b/a)^(1//4)+log_b(a/b)^(1//4))) sqrt(log_a(b)) =

2^((sqrt(log_a(ab)^(1//4)+log_b(ab)^(1//4))-sqrt(log_a(b/a)^(1//4)+log_b(a/b)^(1//4))) sqrt(log_a(b)) =

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