Question

equação exponencial 9x=243

Answer 1

$9^x = 243 \\ \\ (3^2)^x = 3^5 \\ \\ 3^{2x} = 3^5 \\ \\ 2x = 5 \\ \\ x = \frac{5}{2}$

Answer 2

✅ Após resolver a equação do exponencial, concluímos que o valor de "x" é:

    $\Large\displaystyle\text{ \begin{gathered}\boxed{\boxed{\:\:\:\bf x = \frac{5}{2} \:\:\:}}\end{gathered} }$

Resolvendo equação exponencial:

         $\Large\displaystyle\begin{gathered} 9^{x} = 243\end{gathered}$

   $\Large\displaystyle\begin{gathered} (3^{2})^{x}= 3^{5}\end{gathered}$

       $\Large\displaystyle\begin{gathered} {\backslash\!\!\!3}^{2x} = {\backslash\!\!\!3}^{5}\end{gathered}$

         $\Large\displaystyle\begin{gathered} 2x = 5\end{gathered}$

            $\Large\displaystyle\begin{gathered} x = \frac{5}{2} \end{gathered}$

✅ Portanto, o valor de "x" é:

            $\Large\displaystyle\begin{gathered} x = \frac{5}{2} \end{gathered}$

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