Log3 32/log3 2 + log7 27/log7 3

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To simplify this expression, we can use the formula for changing the base of a logarithm:

log_a b = log_c b / log_c a

Therefore, we can rewrite the expression as:

log3 32 / log3 2 + log7 27 / log7 3
= log 32 / log 2 + log 27 / log 3
= log2^5 / log2 + log3^3 / log3
= 5 / 1 + 3 / 1
= 5 + 3
= 8

Therefore, log3 32 / log3 2 + log7 27 / log7 3 = 8.