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If `(log_(3)x)(log_(x)2x)(log_(2x)y)=log_(x)x^(2)`, then what is y equal to?

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If `(log_(3)x)(log_(x)2x)(log_(2x)y)=log_(x)x^(2)`, then what is y equal to?
A. 4.5
B. 9
C. 18
D. 27
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Correct Answer - B
`(log_(3)x)(log_(x)2x)(log_(2x)y)=log_(x)x^(2)`,
`(logx)/(log3)xx(log2x)/(logx)xx(logy)/(log2y)=(logx^(2))/(logx)`
`(logy)/(log3)=(2logx)/(logx)`
logy=2log3
logy=log9
y=9
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