计算题:(log2的次方+log8 9的立方)(log3 4的立方+log9 8的立方+log3 2的立方)过程图图图图图图图图

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计算题:(log2的次方+log8 9的立方)(log3 4的立方+log9 8的立方+log3 2的立方)过程图图图图图图图图

计算题:(log2的次方+log8 9的立方)(log3 4的立方+log9 8的立方+log3 2的立方)过程图图图图图图图图
计算题:(log2的次方+log8 9的立方)(log3 4的立方+log9 8的立方+log3 2的立方)
过程

图图图图图图图图

计算题:(log2的次方+log8 9的立方)(log3 4的立方+log9 8的立方+log3 2的立方)过程图图图图图图图图
首先知道log(a^n)(b^m)=m/n*[log(a)(b)]
原式=[(log2 3)+1/3*(log2 9)][(log3 4)+1/2*(log2 8+(log3 2)]
=[(log2 3)+2/3*(log2 3)][2*(log3 2)+3/2*(log3 2 )+(log3 2)]
=5/3*(log2 3)*9/2*(log3 2)
=15/2

原式=[log2 3+log(2^3) (3^2)][log3 (2^2)+log(3^2) (2^3)+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(log2 3)(log3 2)
=15/2