A student solved the equation below by graphing..log₆(x - 1) = log₂(2x + 2). Which statement about the graph is true?
The curves do not intersect.
The curves intersect at one point.
The curves intersect at two points.
The curves appear to coincide.

Solution:

Given, log₆(x - 1) = log₂(2x + 2)

We have to find the statement that is true regarding the graph.

From the graph,

The blue graph represents the function log₆(x - 1)

The red graph represents the function log₂(2x + 2)

It is clear that the graph of the curves does not intersect.

This means that the curves do not meet.

Therefore, the statement that the curves do not intersect is true.

A student solved the equation below by graphing..log₆(x - 1) = log₂(2x + 2). Which statement about the graph is true?

Summary: 

A student solved the equation below by graphing..log₆(x - 1) = log₂(2x + 2). The statement that the curves do not intersect is true.