Answer
The graphs of $y=\log_{b}x=\frac{logx}{logb}$, with various values of the base $b>1$ such as $b= 2,4,6,8$. 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,
$\log_{2}x=\frac{logx}{log2}$, $\log_{4}x=\frac{logx}{log4}$,
$\log_{6}x=\frac{logx}{log6}$ and $\log_{8}x=\frac{logx}
{log8}$
The graphs of $y=\log_{b}x=\frac{logx}{logb}$, with various values of the base $b>1$ such as $b= 2,4,6,8$. Since, $\log_{b}1=0$ the graphs of all logarithmic functions pass through the point (0, 1).
The graph is depicted as follows:
