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 .

 

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