Question

solve $3^{7-x}=\frac{1}{27}$.
the solution is $x=\square$.

Explanation:

Step1: Rewrite RHS as power of 3

$\frac{1}{27} = 3^{-3}$

Step2: Set exponents equal

$7 - x = -3$

Step3: Solve for x

$x = 7 + 3$

Answer:

$10$