Answer
$x=\dfrac{3}{2}$
Work Step by Step
$5^{2x-3}=1$
Rewrite this equation as $5^{2x}\cdot5^{-3}=1$
$5^{2x}\cdot5^{-3}=1$
Take $5^{-3}$ to divide the right side of the equation:
$5^{2x}=\dfrac{1}{5^{-3}}$
$5^{2x}=5^{3}$
Use the one-to-one property to solve this equation:
$2x=3$
Solve for $x$:
$x=\dfrac{3}{2}$
