Question

(9/2)^x×(5/9)x=(5/2)^3 x=?

Answer 1

$(\frac{9}{2})^x*(\frac{5}{9})^x=(\frac{5}{2})^3$

$\frac{9^x*5^x}{2^x*9^x}=(\frac{5}{2})^3$

$\frac{5^x}{2^x}=(\frac{5}{2})^3$

$(\frac{5}{2})^x=(\frac{5}{2})^3$

$x=3$