Question

2^(2x) - 2^(x+3) + 2^4 = 0​

Answer 1

The correct answer to the following question will be "x=2".

Step-by-step explanation:

Given:

$2^{2x}$-$2^{x+3}$+2⁴=0

($2^{x}$)²-$2^{x}$×2³+16=0

let 2ˣ=y

By putting the value of 2ˣ in the given equation, we get

y²-y×8+16=0

y²-8y+16=0

y²-4y-4y+16=0

y(y-4)-4(y-4)=0

(y-4)(y-4)=0

y-4=0

y=4

As we know that,

2ˣ=y

then by putting the value of y, we get

2ˣ=4

2ˣ=2²

x=2

Learn more:

Find x, solve the equation.......

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