[log(4)(2x)][log(2x)(3y)][log(3y)(z)]=log(8x)[(8x)]^2,则z=?

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[log(4)(2x)][log(2x)(3y)][log(3y)(z)]=log(8x)[(8x)]^2,则z=?[log(4)(2x)][log(2x)(3y)][log(3y)(z)]=log(

[log(4)(2x)][log(2x)(3y)][log(3y)(z)]=log(8x)[(8x)]^2,则z=?
[log(4)(2x)][log(2x)(3y)][log(3y)(z)]=log(8x)[(8x)]^2,则z=?

[log(4)(2x)][log(2x)(3y)][log(3y)(z)]=log(8x)[(8x)]^2,则z=?
左边=(lg2x/lg4)*(lg3y/lg2x)*(lgz/lg3y)=lgz/lg4
右边=2log8x(8x)=2
所以lgz=2lg4=lg4²=lg16
z=16

[log(4)(2x)][log(2x)(3y)][log(3y)(z)]=log(8x)[(8x)]^2
(lg(2x)/lg4)(lg(3y)/lg(2x))(lgz/lg(3y))=2
lgz/lg4=2
lgz=2lg4=lg8
z=8