The student made the first mistake in step 2. Use the change of base formula to rewrite the equations is incorrect.
The reason is that the change of base formula is typically used in logarithms, not when graphing systems of equations.
When solving a system of linear equations by graphing, you would typically write the equations in the form y=mx+b and then graph them on the coordinate plane to find the point of intersection.
The change of base formula is used to convert logarithms from one base to another, not to rewrite equations in general.
In this case, the student simply rewrote the equations using different notation without changing their meaning.
The correct method would be to graph the original equations and identify the x-value at the point of intersection.