The graph passes through $\displaystyle{\left(\frac{{1}}{{2}},-{1}\right)}\usepackage{cmbright}\Huge\$ , $\displaystyle{\left({1},{0}\right)}\usepackage{cmbright}\Huge\$ , $\displaystyle{\left({2},{1}\right)}\usepackage{cmbright}\Huge\$ , and $\displaystyle{\left({4},{2}\right)}\usepackage{cmbright}\Huge\$ , for example. These numbers make the equation $\displaystyle{y}={\log}_{{{2}}}{x}\usepackage{cmbright}\Huge\$ true. In general, when $\displaystyle{b}>{1}\usepackage{cmbright}\Huge\$ , the graph of $\displaystyle{f{{\left({x}\right)}}}={\log}_{{b}}{x}\usepackage{cmbright}\Huge\$ is increasing and has this shape.