Astudent solved the equation below by graphing log6(x-1)=log2(2x+2) which statement about the graph is true

The rest of the question is as following
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Which statement about the graph is true?
1. The curves do not intersect.
2. The curves intersect at one point.
3. The curves intersect at two points.
4. The curves appear to coincide.
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Solution:

See the attached figure
The blue graph represents the function log₆(x-1)
The red graph represents the function log₂(2x+2)
As shown from the figure
the curves does not meet.
Therefore, the correct statement is option 1

1. The curves do not intersect.