注明一下
loga的n次方 b的m次方=(m/n)loga b
loga b=lg b/lg a
原式
=(log2 3+log8 9)(log3 4+log9 8+log3 2)
=[log2 3+(2/3)log2 3][2log3 2+(3/2)log3 2+log3 2]
=(5/3)log2 3*(9/2)log3 2
=(15/2)(lg 3/lg 2)(lg 2/lg 3)
=15/2
(log2 3+log8 9)(log3 4+log9 8+log3 2)的运算过程
2个回答
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