Question

2 la puterea x+4=4 la puterea x+3

Answer 1

Răspuns:

x = -2

Explicație pas cu pas:

${2}^{x + 4} = {4}^{x + 3} \iff {2}^{x + 4} = {( {2}^{2} )}^{x + 3} \\ {2}^{x + 4} = {2}^{2(x + 3)} \iff x + 4 = 2(x + 3) \\ x + 4 = 2x + 6 \iff x - 2x = 6 - 4 \\ - x = 2 \implies \bf x = - 2$