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let E=log2(log2 3)+log2(log3 4)+log2(log...

let `E=log_2(log_2 3)+log_2(log_3 4)+log_2(log_4 5)+log_2(log_5 6)+log_2(log_6 7)+log_2(log_7 8)` then `8^E` is

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A denotes the product xyz where x,y and z satisfy log_3 x= log5-log7 and log_5 y=log7-log 3 and log_7 z=log 3-log5 B denotes the sum of square of solution of the equation, log_2(log_2 x^6 - 3) - log_2(log_2 x^4 - 5) = log_2 3 C denotes characterstio of logarithm log_2 (log_2 3)-log_2 (log_4 3)+log_2(log_4 5)-log_2(log_6 5)+log_2 (log_6 7)-log_2 (log_6 3) The valuo of A+B+C is equal to

-log_8 log_4 log_2 16=

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