Question

Resolver a equaçao exponencial 7^4x+3=49

Answer 1

7^4x+3=49 (Decompondo ficará 7^2)
Logo.
7^4x+3=7^2 (Como as bases estão iguais, só dar continuidade)
4x+3=2
4x=2-3
4x=-1
x=-1/4

Espero ter ajudado. (:

Answer 2

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

      $\Large\displaystyle\text{ \begin{gathered}\boxed{\boxed{\:\:\:\bf x = -\frac{1}{4} \:\:\:}}\end{gathered} }$

Resolvendo equação exponencial:

       $\Large\displaystyle\begin{gathered} 7^{4x + 3} = 49\end{gathered}$

       $\Large\displaystyle\begin{gathered} 7^{4x + 3} = 7^{2}\end{gathered}$

    $\Large\displaystyle\begin{gathered} 4x + 3 = 2\end{gathered}$

            $\Large\displaystyle\begin{gathered} 4x = 2 - 3\end{gathered}$

            $\Large\displaystyle\begin{gathered} 4x = -1\end{gathered}$

              $\Large\displaystyle\begin{gathered} x = -\frac{1}{4} \end{gathered}$

✅ Portanto, o valor de "x" é:

             $\Large\displaystyle\begin{gathered} x = -\frac{1}{4} \end{gathered}$

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