9514 1404 393
Answer:
x = 9 or 25
Step-by-step explanation:
Taking antilogs and solving the quadratic, you have ...
[tex]\dfrac{(x+15)^2}{x}=2^6\\\\x^2 +30x +225 = 64x\qquad\text{multiply by x}\\\\x^2 -34x +225 = 0\qquad\text{subtract $64x$}\\\\(x -25)(x -9)=0\qquad\text{factor}\\\\\boxed{x=25\quad\text{or}\quad x=9} \qquad\text{values that make the factors 0}[/tex]
