(log2(5x-1)*log3(7x-1))/(2^(15x^2+2)-2^11x)

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To simplify the expression, we need to first simplify the values inside the logarithms and then simplify the denominator.

Simplifying the logarithms:
log2(5x-1) = log(5x-1)/log(2)
log3(7x-1) = log(7x-1)/log(3)

Multiplying the logarithms:
(log(5x-1)/log(2)) (log(7x-1)/log(3))
= (log(5x-1) log(7x-1)) / (log(2) * log(3))

Simplifying the denominator:
2^(15x^2+2) = 2^(15x^2) 2^2 = (2^15)^x^2 4
= 32768^x^2 4 = 32768^(x^2) 4

Therefore, the simplified expression is:

(log(5x-1) log(7x-1)) / (log(2) log(3) (32768^(x^2) 4))