Question

necesito ayuda ,el tema es exponenciales​

Answer 1

Respuesta:

x= -2

Explicación paso a paso:

$21 \cdot{} {3}^{x} - {2}^{x + 3} = {3}^{x + 1}$

$7 \cdot{}3\cdot{} {3}^{x} - {2}^{x + 3} = {3}^{x + 1}$

$7 \cdot{} {3}^{x + 1} - {2}^{x + 3} = {3}^{x + 1}$

$7 \cdot{} {3}^{x + 1} - {3}^{x + 1}= {2}^{x + 3}$

${3}^{x + 1} (7 - 1) = {2}^{x + 3}$

${3}^{x + 1} (6) = {2}^{x + 3}$

${3}^{x + 1} (3\cdot{}2 )= {2}^{x + 3}$

${3}^{x} \cdot{} {3}^{1} \cdot{}3\cdot{}2 = {2}^{x} \cdot{} {2}^{3}$

${3}^{x} \cdot{} {3}^{2} \cdot{}2 = {2}^{x} \cdot{} {2}^{3}$

$\frac{ {3}^{x} }{ {2}^{x} } = \frac{ {2}^{3} }{ {3}^{2}\cdot{}2}$

${( \frac{3}{2} )}^{x} = \frac{ {2}^{3 - 1} }{ {3}^{2} }$

${( \frac{3}{2} )}^{x} = \frac{ {2}^{2} }{ {3}^{2} }$

${( \frac{3}{2} )}^{x} = {( \frac{2}{3} )}^{2}$

${( \frac{3}{2} )}^{x} = {( \frac{3}{2} )}^{ - 2}$

$x = - 2$