Question

Any one. or if you will do two I will be real happy
whoever does this will receive brainliest​

Answer 1

Let's substitute t in the place of root 2^x.

$t + \frac{1}{t} = 2 \\ = > t = 1$

Now,

$\sqrt{2x} = 1 \\ = > x = \frac{1}{2}$

Now, Let's check the solution

$\sqrt{2 \times \frac{1}{2} } + \frac{1}{\sqrt{2 \times \frac{1}{2} }} = 2 \\ \\ \sqrt{1} + \frac{1}{ \sqrt{1} } = 2 \\ \\ 1 + 1 = 2 \\ \\ 2 = 2$

Because LHS=RHS

x=1/2 Is solution of the above equation.