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Prove that log(7) log(7)sqrt(7sqrt((7sq...

Prove that ` log_(7) log_(7)sqrt(7sqrt((7sqrt7))) = 1-3 log_(7) 2`.

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`log_(7) log_(7) sqrt(7sqrt((7sqrt7))) = log_(7) log_(7) 7^(1/2+1/4+1/8)`
` = log_(7) (1/2+1/4+1/8)`
` = log_(7) (7/8)`
` = 1- log_(7) 8`
` = 1-3 log_(7) 2`
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