✅ Após resolver a equação exponencial, concluímos que seu conjunto solução é:
[tex]\Large\displaystyle\text{$\begin{gathered}\boxed{\boxed{\:\:\:\bf S = \{2\}\:\:\:}}\end{gathered}$}[/tex]
Resolvendo equação exponencial:
[tex]\Large\displaystyle\text{$\begin{gathered} 25^{x} = 625\end{gathered}$}[/tex]
[tex]\Large\displaystyle\text{$\begin{gathered}(5^{2})^{x} = 5^{4} \end{gathered}$}[/tex]
[tex]\Large\displaystyle\text{$\begin{gathered} {\backslash\!\!\!5}^{2x} = {\backslash\!\!\!5}^{4}\end{gathered}$}[/tex]
[tex]\Large\displaystyle\text{$\begin{gathered} 2x = 4\end{gathered}$}[/tex]
[tex]\Large\displaystyle\text{$\begin{gathered} x = \frac{4}{2} \end{gathered}$}[/tex]
[tex]\Large\displaystyle\text{$\begin{gathered} x = 2\end{gathered}$}[/tex]
✅ Portanto, o conjunto solução da equação é:
[tex]\Large\displaystyle\text{$\begin{gathered} S = \{2\}\end{gathered}$}[/tex]
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