Question

Solve for x. 5^11x=25^x+9

Answer 1

   
$\displaystyle\\ 5^{11x}=25^{x+9}\\\\ 5^{11x}=\Big(5^2\Big)^{x+9}\\\\ 5^{11x}=5^{2(x+9)}\\\\ 11x = 2(x+9)\\\\ 11x = 2x+18\\\\ 11x - 2x = 18\\\\ 9x = 18\\\\ x = \frac{18}{9} = \boxed{2}$