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iogann1982 [59]
3 years ago
9

Solve the equation (2^2x)/( 2^x+5) = 1 algebraically using two different initial steps as directed below.

Mathematics
1 answer:
NikAS [45]3 years ago
7 0

Answer:

x = 5

Step-by-step explanation:

Given equation as:

\frac{2^2x}{2^{x+5}} = 1

now,

writing each side as power of 2

2⁰ = 1

therefore,

\frac{2^2x}{2^{x+5}} = 2⁰

also, we know the property that , when the number having the same bases gets divided , the powers of the number gets subtracted

therefore,

2^{2x-(x+5)}  = 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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