The graph passes through $\displaystyle{\left(\frac{{2}}{{5}},{1}\right)}\usepackage{cmbright}\Huge\$ , $\displaystyle{\left({1},{0}\right)}\usepackage{cmbright}\Huge\$ , and $\displaystyle{\left(\frac{{5}}{{2}},-{1}\right)}\usepackage{cmbright}\Huge\$ , for example. These numbers make the equation $\displaystyle{y}={\log}_{{\frac{{2}}{{5}}}}{x}\usepackage{cmbright}\Huge\$ true. In general, when $\displaystyle{0}<{b}<{1}\usepackage{cmbright}\Huge\$ , the graph of $\displaystyle{f{{\left({x}\right)}}}={\log}_{{b}}{x}\usepackage{cmbright}\Huge\$ is decreasing and has this shape.