Question

Cual es el valor de x

Answer 1

Respuesta:

x = 2

Explicación paso a paso:

${3}^{x + 1} + {3}^{x + 2} = 108 \\ \\ {3}^{x} \times {3}^{1} + { 3}^{x} \times {3}^{2} = 108 \\ \\ {3}^{x} (3 + {3}^{2} ) = 108 \\ \\ {3}^{x} (3 + 9) = 108 \\ \\ {3}^{x} (12) = 108 \\ \\ {3}^{x} = \frac{108}{12} \\ \\ {3}^{x} = 9 \\ \\ {3}^{x} = {3}^{2} \\ \\ x = 2$