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

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

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  1. The rest of the question is as following
    =====================================
    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.
    ==================================================
    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.

    [tex]Astudent solved the equation below by graphing log6(x-1)=log2(2x+2) which statement about the graph[/tex]

  2. Given [tex]\log_6(x-1)=\log_2(2x+2)[/tex]

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

    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".

    [tex]Astudent solved the equation below by graphing. mc024-1.jpg which statement about the graph is true?[/tex]

  3. Using a graph tool
    see the attached figure

    we have that

    The blue curve represent  log2(2x+2)
    while the red curve represent log6(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 answer is
     the statement about the graph that is true is
    "The curves do not intersect"
    [tex]Astudent solved the equation below by graphing[/tex]

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