# The number of real roots of the equation

Question:

The number of real roots of the equation $5+\left|2^{x}-1\right|=2^{x}\left(2^{x}-2\right)$ is :

1. 2

2. 3

3. 4

4. 1

Correct Option: , 4

Solution:

Let $2^{\mathrm{x}}=\mathrm{t}$

$5+|t-1|=t^{2}-2 t$

So, number of real root is 1 .