[tex] log_{2}x + log_{2^{2}}x + log_{2^{3}}x = \frac{11}{6} [/tex]
[tex]log_{2}x + \frac{1}{2}log_{2}x + \frac{1}{3}log_{2}x = \frac{11}{6} [/tex]
[tex]log_{2}x ( 1+ 1/2 + 1/3 ) = 11/6[/tex]
[tex] \frac{11}{6}* log_{2}x = \frac{11}{6}[/tex]
[tex]log_{2}x = 1 => x = 2[/tex]