Question

Kim solved the equation below by graphing a system of equations. log2(3x-1)= log4(x+8) What is the approximate solution to the equation?

Answer 1

(1.35, 1.6)

Explanation:

A screenshot of the graph is attached.

Once we graph the equations
`y=\log_2(3x-1)` and
`y=\log_4(x+8)`, the solution to this system will be their intersection point.

Tracing the graph on the calculator, we see that the point of intersection is at about (1.35, 1.6).