Question

Graph each function using a graphing utility and the Change-of-Base Formula.

$y={\log }_{x-1}\left(x+1\right)$

Short answer

Consider the given function.

$y={\log }_{x-1}\left(x+1\right)$

Step-by-step solution

Step 1. Given information.

Consider the given function.

$y={\log }_{x-1}\left(x+1\right)$

Step 2. Calculation.

Apply the change base formula.

$\begin{array}{l}y={\log }_{x-1}\left(x+1\right)\\ =\frac{\log \left(x+1\right)}{\log \left(x-1\right)}\end{array}$

Step 3. Graph.

Draw the graph of the obtained base change function.