Answer:
x = 5
Step-by-step explanation:
Given equation as:
[tex]\frac{2^2x}{2^{x+5}}[/tex] = 1
now,
writing each side as power of 2
2⁰ = 1
therefore,
[tex]\frac{2^2x}{2^{x+5}}[/tex] = 2⁰
also, we know the property that , when the number having the same bases gets divided , the powers of the number gets subtracted
therefore,
[tex]2^{2x-(x+5)}[/tex] = 2⁰
now for the equality the power of 2 both sides should be equal
thus,
⇒ 2x-(x+5) = 0
or
⇒ 2x = x + 5
or
⇒ 2x - x = 5
or
⇒ x = 5
