Question

Solve the equation for x:
2^(2x) - 2^(x+3) + 2^4 = 0

Answer 1

Answer is 2 hope it will help you.....

Answer 2

Answer:

x = 2

Explanation:

Given

$2^{2x}-2^{x+3}+2^{4}=0$

$\implies(2^{x})^{2}-2^{x}\times2^{3}+2^{4}=0$

Let $2^{x} = a$

=> a²-8a+16=0

=> a²-2*a*4+4² = 0

=> (a-4)² = 0

=> (a-4) = 0

=> a = 4

=> a = 2²

$a = 2^{x}=2^{2}$

x= 2

$\boxed{If \: a^{m}=a^{n} \implies m = n}$

Therefore,

x = 2

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