Question

Qual o resultada da equação exponencial : 4x=1/2

Answer 1

Olá! Procure ser mais claro... Isso parece uma equação do primeiro grau!

$\\ \mathsf{4^x = \frac{1}{2}} \\\\ \mathsf{(2^2)^x = 2^{- 1}} \\\\ \mathsf{2^{2x} = 2^{- 1}} \\\\ \mathsf{2x = - 1} \\\\ \boxed{\mathsf{x = - \frac{1}{2}}}$ 

Answer 2

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

   $\Large\displaystyle\text{ \begin{gathered}\boxed{\boxed{\:\:\:\bf x = - \frac{1}{2} \:\:\:}}\end{gathered} }$

Resolvendo equação exponencial:

         $\Large\displaystyle\begin{gathered} 4^{x} = \frac{1}{2} \end{gathered}$

    $\Large\displaystyle\begin{gathered} (2^{2})^{x} = \frac{1}{2} \end{gathered}$

        $\Large\displaystyle\begin{gathered} {\!\backslash\!\!\!2}^{2x} = {\!\backslash\!\!\!2}^{-1}\end{gathered}$

         $\Large\displaystyle\begin{gathered} 2x = -1\end{gathered}$

           $\Large\displaystyle\begin{gathered} x = -\frac{1}{2} \end{gathered}$

✅ Portanto, o valor de "x" é:

          $\Large\displaystyle\begin{gathered} x = -\frac{1}{2} \end{gathered}$

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