Question

how to deal with this type of questions

$\sqrt{5 - log_{2}(x) } = 3 - log_{2}(x)$

Answer 1

Here, we simply assume:


$log_2 (x) = t$

This simplifies the problem.


Also, we see that LHS is a square root.


Now, a square root always gives a positive value.

Like, √4 = 2 only.

√4 ≠ -2


Thus, RHS must also be a positive value.

This point will help us eliminate one solution.


Finally, x = 2 is the only valid solution.

The complete answer is in the image.


Hope it helps,
Purva
Brainly Community