Answer
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:
Work Step by Step
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:
