Answer
The function $lnx$ and $y=\log_{10}x$ are inverse functions of $10^{x}$ and $e^{x}$, respectively.From the graph, we can conclude that the functions lnx and $y=\log 10(x)$ intersect at point $x = 1$ and their inverse functions intersect at $y = 1$.
The graph is depicted as follows:
Work Step by Step
Since, change of base formula defines $\log_{a}x=\frac{logx}{loga}$
Therefore,
$y=lnx$, $y=\log_{10}x=\frac{logx}{log10}$,
$y=e^{x}$ and $y=10^{x}$
The most important logarithmic functions have base $b>1$ The fact that $y=b^{x}$ is a very rapidly increasing function for $x>0$ is reflected in the fact that $y=\log_{b}x$ is a very slowly increasing function for $x>1$ .
The function $lnx$ and $y=\log_{10}x$ are inverse functions of $10^{x}$ and $e^{x}$, respectively.From the graph, we can conclude that the functions lnx and $y=\log 10(x)$ intersect at point $x = 1$ and their inverse functions intersect at $y = 1$.
The graph is depicted as follows: