Question

15 elevado a (2x+1) / 5 elevado a (x+3)= 3 elevado a ( x+3) ayúdenme xfavor

Answer 1

Respuesta:

SI esta es tu ecuación

$\frac{ {15}^{(2x + 1)} }{ {5}^{(x + 3)} } = {3}^{(x + 3)} \\ \frac{ {3}^{(2x + 1)} \times {5}^{(2x + 1)} }{ {5}^{(x + 3)} } = {3}^{(x + 3)}$

${3}^{(2x + 1)} \times {5}^{(2x + 1 - x - 3)} = {3}^{(x + 3)} \\ {3}^{(2x + 1)} \times {5}^{ (x - 2)} = {3}^{(x + 3)}$

${5}^{(x - 2)} = {3}^{ (- x + 2)}$

X = 2

Para que ambos valores sean iguales

Reemplazamos para comprobar

${5}^{(2 - 2)} = {3}^{ (- 2 + 2)} \\ {5}^{0} = {3}^{0} \\ 1 = 1$