Após resolver os cálculos, concluímos que o conjunto solução da equação exponencial é:
[tex]\large\displaystyle\text{$\begin{gathered}\hookrightarrow\boxed{\boxed{\bf S=\{1\}}} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered} \mathsf{5 {}^{x + 2} = 125 {}^{x} }\end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered} \mathsf{ \not5 {}^{x + 2} = \not5 {}^{3x} } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered} \mathsf{x + 2 = 3x}\end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered} \mathsf{x - 3x = - 2}\end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered} \mathsf{ - 2x = - 2}\end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered} \mathsf{x = 1}\end{gathered}$}[/tex]
