1.

The number of solutions of the equation `3"log"_(3)|-x| = "log"_(3) x^(2),` is

Answer» Correct Answer - C
We have,
`3 "log"_(3)|-x| = "log"_(3) x^(2)`
`rArr "log"_(3) |-x|^(3) = "log"_(3) x^(2)`
`rArr |-x|^(3) = x^(2)`
`rArr |x|^(3) = x^(2) rArr |x|^(2) (|x|-1) = 0 rArr x = 0, x = +-1`
But, the equation is not meaningful for x = 0. Therefore, `x = +-1`


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