Răspuns:
x = -2
Explicație pas cu pas:
[tex]{2}^{x + 4} = {4}^{x + 3} \iff {2}^{x + 4} = {( {2}^{2} )}^{x + 3} \\ {2}^{x + 4} = {2}^{2(x + 3)} \iff x + 4 = 2(x + 3) \\ x + 4 = 2x + 6 \iff x - 2x = 6 - 4 \\ - x = 2 \implies \bf x = - 2[/tex]
2^(x + 4) = 4^(x + 3)
2^(x + 4) = (2^2)^(4x + 3)
2^(x + 4) = 2^(2x + 6)
x + 4 = 2x + 6
x - 2x = 6 - 4
- x = 2
x = - 2
