Correct Answer - one solution
We have ` x^(3) - log_(0.5) x = 0`
` or x^(3) = log _(0.5) x`
To find the number of roots of the equation, we have to draw the
graphs of ` y = x^(3) and y = log_(0.5) x.`
From the figure, graphs intersect at only one point.
Hence, the equation has only one root.