Answer
$x=-3$
Work Step by Step
$7^{2x-3}=7^{6+5x}$
Simply use the one-to-one property to solve this equation. Make the exponents on both sides of the equation equal.:
$2x-3=6+5x$
Take the $5x$ to the left side of the equation and the $-3$ to the right side:
$2x-5x=6+3$
Simplify both sides:
$-3x=9$
Solve for $x$:
$x=-\dfrac{9}{3}$
$x=-3$
