1.log2 3log3 4log4 5*log5 2 2.(log4 3+log8 3)8(log3 2+log9

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/10/02 16:09:28

1.log2 3*log3 4*log4 5*log5 2 2.(log4 3+log8 3)8(log3 2+log9 2)
一定要详细的不能在详细.
第二道题中的·那个8打错了应去掉

1、log2 3*log3 4*log4 5*log5 2
=lg2/lg3xlg3/lg4xlg4/lg5xlg5/lg2 （换底公式）
=1 （约分）
2.(log4 3+log8 3)*(log3 2+log9 2) 中间应为乘号
=(lg3/lg4+lg3/lg8)*(lg2/lg3+lg2/lg9)
=(lg3/2lg2+lg3/3lg2)*(lg2/lg3+lg2/2lg3)
=[(1/2+1/3)(lg3/lg2)]*[(1+1/2)(lg2/lg3)]
=(1/2+1/3)*(1+1/2)
=5/6*3/2
=5/4
再问：谢谢你呦！！！！！！
再答：别客气

1.log2 3*log3 4*log4 5*log5 2 2.(log4 3+log8 3)8(log3 2+log9 利用换底公式求值：1.log2 25 ×log3 4 ×log5 9 2.（log4 3+log8 3）（log3 2+ (log4 3+log8 3)(log3 5+log9 5)(log5 2+log25 2)= (log3^2 + log9^4)×(log4^3 + log8^3) (log4^3+log8^3)*(log3^2+log9^2)-log2^4次√32 [log2(3)+log4(9)][log3(4)+log9(2)]等于化简(log4(3)+log8(3))(log3(2)+log9(2)) (log4^3+log8^3)(log3^2+log9^2) 求值(log4(3)+log8(3))×(log3(2)+log9(2)) 求值(log3(2)+log9(2))*(log4(3)+log8(3)) (log3 2+log9 2)*(log4 3+log8 3)求值求值:(log4^ 3+log8 ^9)*(log3^ 2+log9 ^16)