## Tanisha solved the equation below by graphing a system of equations. log3 5x = log5 ( 2x + 8). What system of equations could be used to

Question

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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3 months 2022-02-12T04:40:05+00:00 2 Answers 0 views 0

y1 = 0.9, y2 = 1.4

Step-by-step explanation:

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.