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Tanisha solved the equation below by graphing a system of equations. log3 5x = log5 ( 2x + 8). What system of equations could be used to approximate her solution? Do your best to type out the two equations for the system.

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Poltergeist

Answer:

The set

[tex]y=log_3 (5x)[/tex]

[tex]y=log_5 (2x+3)[/tex]

Step-by-step explanation:

We separate the left and right side of the equation, to create two new equations:

(1) [tex]y=log_3 (5x)[/tex]

(2). [tex]y=log_5 (2x+3)[/tex]

and then to solve Tanisha's original equation, we find the solution to the system that we got above.

The first step in solving the above system of equations is to take the value for [tex]y[/tex] from equation(1), and substitute it into equation(2) which gives us:

[tex]y=log_5 (2x+3)\\\\ \boxed{log_3(5x) = log_5 (2x+3)}[/tex]

which is the same equation that Tanisha set out to solve.

abidemiokin

The system of equations that could be used to approximate her solution are  [tex]log_35x[/tex] and [tex]log_5(2x+8)[/tex]  

Equation of graph

Given the equation below by graphing a system of equations.

[tex]log_3 5x = log_5 ( 2x + 8)[/tex]

According to the equation, the solution was derived from the intersection of both functions.

Splitting the function, we will have [tex]log_35x[/tex] and [tex]log_5(2x+8)[/tex]

The system of equations that could be used to approximate her solution are  [tex]log_35x[/tex] and [tex]log_5(2x+8)[/tex]  

Learn more on log functions here: https://brainly.com/question/25638609

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