[tex]log_x 2 + log_{\sqrt{x}} 2 = 9[/tex]
[tex]log_x 2 + log_{x^ \frac{1}{2}} 2 = 9 [/tex]
[tex]log_x 2 + log_x 4 = 9 [/tex]
[tex] \frac{log_2 2}{log_2 x} + \frac{log_2 4}{log_2 x} = 9[/tex]
[tex] \frac{1+2}{log_2 x} = 9 [/tex]
3 = 9[tex]log_2 x[/tex]
[tex]log_2 x = \frac{1}{3} [/tex]
x = [tex] \sqrt[3]{2} [/tex]
