Find the solution(s) (if any) of the following equation: 5^{2 x}-5^{x}-\frac{10}{9}=0 x=\frac{1}{2}+\log _{5} \sqrt{3} x=\log _{5} \sqrt{\frac{3}{5}} x=\log _{5} \sqrt{\frac{2}{3}} \text { d) } x=\frac{1}{2}-\log _{5} \sqrt{3} \text { (Se)

} x=-\log _{5} \sqrt{\frac{2}{3}} x=\log _{5} \sqrt{\frac{-2}{3}} \text { g) No solutions. } \text { h) None of the answers shown here. }