Question

Qual o valor de x na equação $(4^{x+1} - 4^{x})^{2} = 144 ?$

a. x = 4
b. x = 3
c. x = 2
d. x = 5
e. x = 1

Answer 1

(4ˣ⁺¹ - 4ˣ)² = 144

[4ˣ ( 4 - 1) ]² = 144

[4ˣ ( 3) ]² = 144

4²ˣ * 9 = 144

4²ˣ = 144/9

4²ˣ = 16

4²ˣ = 4²

2x = 2
x = 1

R: (e)