Question

I need help with this question AASP

Marlee solved the equation below by graphing a system of equations.

LaTeX: \log_2\left(5x\right)=\log_8\left(x+5\right)

Which system of equations could be used to approximate her solution? What is the approximate solution for her system of equations?

Marlee solved the equation below by graphing a system of equations.

LaTeX: \log_2\left(5x\right)=\log_8\left(x+5\right)

Which system of equations could be used to approximate her solution? What is the approximate solution for her system of equations?

LaTeX: System\:\:y=\log_2\left(5x\right)\:and\:\:y=\log_8\left(x+5\right)\:;\:\:Solution\:\:x=0.806

LaTeX: System\:\:y=\left(5x\right)\:and\:\:y=\left(x+5\right)\:;\:\:Solution\:\:x=0.806

LaTeX: System\:\:y=\log\left(5x\right)\:and\:\:y=\log\left(x+5\right)\:;\:\:Solution\:\:x=0.35

LaTeX: System\:\:y=\log_2\left(5x\right)\:and\:\:y=\log_8\left(x+5\right)\:;\:\:Solution\:\:x=0.35

Answer 1

A system of equation involves a collection of multiple equations

Marlee can use the equations $y= \log_2\left(5x\right)$ and $y =\log_8\left(x+5\right)$ to determine the approximate solution for her equation

How to determine the system of equations

The equation is given as:

$\log_2\left(5x\right)=\log_8\left(x+5\right)$

Split the equation into two, as follows:

$y= \log_2\left(5x\right)$

$y =\log_8\left(x+5\right)$

The above set of equations can be used to represent the system of equations

Hence, Marlee can use the equations $y= \log_2\left(5x\right)$ and $y =\log_8\left(x+5\right)$ to determine the approximate solution for her equation

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