Question

Si: 3^{x+2}=18
Calcule el valor de la expresion:

Answer 1

Respuesta:

la respuesta es 16

Explicación paso a paso:

${3}^{x + 2} = 18 \\ 3 ^{x} \times {3}^{2} = 18 \\ {3}^{x} \times 9 = 18 \\ {3}^{x} = 2$

Calcular:

$( {3}^{3 ^{x} })^{x} \times {9}^{x} \\ ( {3}^{2}) {}^{x} \times 9 {}^{x} \\ {9}^{x} \times {9}^{x} \\ {81}^{x} \\ ({3}^{4} ) {}^{x} \\ ( {3}^{x}) {}^{4} \\ 2 {}^{4} = 16$