Step 1 Graph of \(\displaystyle{f{{\left({x}\right)}}}=\ {{\log}_{{{2}}}{x}}\) Step 2 Graph of \(\displaystyle{f{{\left({x}\right)}}}={{\log}_{{{2}}}{\left({x}\ -\ {2}\right)}}\) From \(\displaystyle{{\log}_{{{2}}}{x}}\) the graph is translated to the right 2 units. The x-intercept is (3, 0). There is a vertical asymptote at \(\displaystyle{x}={2}\). The domain of the graph is \(\displaystyle\le{f}{t}{\left\lbrace{x}{\mid}{x}\ {>}\ {2}{r}{i}{g}{h}{t}\right\rbrace}.\). The range is all real numbers.