1 Answer

Rischan · Answer 1 · 2023-01-25T14:33:35+0000

Solution

Solve the equation

Step 1: Applying exponential rules

$\begin{gathered} 64^(-x+26)=128^x \\ 2^(6(-x+26))=2^(7x) \\ 6(-x+26)=7x \end{gathered}$

Step 2: Evaluate the value of x

$\begin{gathered} 6(-x+26)=7x \\ -6x+156=7x \\ 156=7x+6x \\ 156=13x \end{gathered}$

Step 3: Divide both side by 13

$\begin{gathered} 13x=156 \\ x=(156)/(13) \\ x=12 \end{gathered}$

Therefore the correct answer is 12

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