求（log2^3+log8^9)(log3^4+log9^8+log3^2)的值

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=(log2 3+log8 9)(log3 4+log9 8+log3 2)
=[log2 3+(2/并隐巧携猛3)log2 3][2log3 2+(3/2)log3 2+log3 2]
=(5/3)log2 3*(9/2)log3 2
=(15/2)(lg 3/绝键lg 2)(lg 2/lg 3)
=15/2

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