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If log(5)p = a and log(2)q=a, then prove...

If `log_(5)p = a` and `log_(2)q=a`, then prove that `(p^(4)q^(4))/(100) = 100^(2a-1)`

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`log_(5)p = a rArr p = 5^(a)`
`log_(2)q=a rArr q=2^(a)`
`rArr (p^(4)q^(4))/(100) = (5^(4a).2^(4a))/(100) = (10)^(4a)/(100) = (100)^(2a)/(100) = 100^(2a-1)`
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