Question

A student solved the equation below by graphing. mc024-1.jpg 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.

Answer 1

a. the curves don't intersect

Explanation:

Answer 2

Given
`\log_6(x-1)=\log_2(2x+2)`

I attached a graphical solution to the equation. The blue curve represent
`\log_2(2x+2)` while the red curve represent
`\log_6(x-1)`

From the equation, it can be seen that the curves representing the two terms in both sides of the equation does not meet.
Therefore, the statement about the graph that is true is "The curves do not intersect".