## Calculus 8th Edition

The graphs of $y=\log_{b}x=\frac{logx}{logb}$, with various values of the base $b>1$ such as $b= 1.5,10,50$. Since, $\log_{b}1=0$ the graphs of all logarithmic functions pass through the point (0, 1). The graph is depicted as follows:
Since, change of base formula defines $\log_{a}x=\frac{logx}{loga}$ Therefore, $\log_{1.5}x=\frac{logx}{log1.5}$, $y=lnx$ , $\log_{10}x=\frac{logx}{log10}$, and $\log_{50}x=\frac{logx}{log50}$ The graphs of $y=\log_{b}x=\frac{logx}{logb}$, with various values of the base $b>1$ such as $b= 1.5,10,50$. Since, $\log_{b}1=0$ the graphs of all logarithmic functions pass through the point (0, 1). The graph is depicted as follows: