Question

1.Tanisha solved the equation below by graphing a system of equations.log: (5x) = log5 (2x + 8)What are the two equations in the system of equations that could be used to approximate her solution?(Do your best to type out the two equations for the system.)Yi =Y2 =2. What is the approximate solution (x -value) for her system of equations? And where on the graph can tanisha find her solution to the system?

Answer 1

Part 1.

Since we have the equation

`\log _3(5x)=\log _5(2x+8)`

the equations which can be used to approximate the solutions are:

`\begin{gathered} y_1=\log _3(5x) \\ y_2=\log _5(2x+8) \end{gathered}`

Part 2.

Let's make the graph of the 2 equations. The graph is

The approximate solution is given by the intersection point of the 2 graphs, which is the point ( 0.957 , 1.425). Then x-value corresponding to the solution is x= 0.957.