Question

Equação exponencial >> 6 . 7^x-3 = 294

Answer 1

     (x - 3) 
6. 7          =   294
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   (x - 3) 
7              = 294 / 6
=============================
  (x - 3)
7           =   49
=============================
  (x - 3)           2
7            =    7 
=============================
cancelo os 7
=============================

x - 3 = 2
     x = 2 + 3
     x = 5

Answer 2

✅ Tendo resolvido a equação exponencial, concluímos que seu conjunto solução é:

     $\Large\displaystyle\text{ \begin{gathered}\boxed{\boxed{\:\:\:\bf S = \{5\}\:\:\:}}\end{gathered} }$

Resolvendo equação exponencial:

      $\Large\displaystyle\begin{gathered} 6\cdot7^{x - 3} = 294\end{gathered}$

           $\Large\displaystyle\begin{gathered} 7^{x - 3} = \frac{294}{6} \end{gathered}$

           $\Large\displaystyle\begin{gathered} 7^{x - 3} = 49\end{gathered}$

           $\Large\displaystyle\begin{gathered} 7^{x - 3} = 7^{2}\end{gathered}$

         $\Large\displaystyle\begin{gathered} x - 3 = 2\end{gathered}$

                 $\Large\displaystyle\begin{gathered} x = 2 + 3\end{gathered}$

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

✅ Portanto, o conjunto solução é:

                $\Large\displaystyle\begin{gathered} S = \{5\}\end{gathered}$

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