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解(log4^3+log8^3)(log3^2+log9^2)-log2^(根号32开4次方)

题目详情
解(log4^3+log8^3)(log3^2+log9^2)-log2^(根号32开4次方)
▼优质解答
答案和解析
(log4^3+log8^3)(log3^2+log9^2)-log2^(根号32开4次方)=[log4^3+log(4^2)^3][log3^2+log(3^2)^2]-log2^2√2=[log4^3+log4^6][log3^2+log3^4]-log2^2√2=log4^9*log3^8-log2^2-log2^√2=lg9/lg4*lg8/lg3-1-1/2=3-2√2...