Solve the equation (2^2x)/( 2^x+5) = 1 algebraically using two different initial steps as directed below.
1 answer:
Answer:
x = 5
Step-by-step explanation:
Given equation as:
= 1
now,
writing each side as power of 2
2⁰ = 1
therefore,
= 2⁰
also, we know the property that , when the number having the same bases gets divided , the powers of the number gets subtracted
therefore,
= 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
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