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Find number of roots of the equation x^...

Find number of roots of the equation ` x^(3)-log_(0.5) x = 0`.

Text Solution

Verified by Experts

The correct Answer is:
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.
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