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Prove that (ii) log(10)15(1+log(15)30)...

Prove that
(ii) `log_(10)15(1+log_(15)30)+1/2 log_(10)16(1+log_(4)7)-log_(10)6(log_(6)3+1+log_(6)7) = 2`

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CALCUTTA BOOK HOUSE-LOGARITHM-Examples (Long-answer type question)
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  10. If log((x+y)/5) = 1/2 (log x + log y), then show that x/y + y/x = 23.

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  19. Solve : (iii) 4^(log(9^3))+9^(log(2^4))=10^(log(x^83))

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