Respuesta :
A system of equations is the set of equations in which the finite set of the equation is present for which the common solution is sought.
System of equations that can be graphed to solve the given equation is,
[tex]\rm y_1= \dfrac{logx}{log0.5}\\\\ y_2=\dfrac{log2}{log3}[/tex]
Thus the option D is the correct option.
What is a system of equations?
A system of equations is the set of equations in which the finite set of the equation is present for which the common solution is sought.
Given information-
The given logarithmic equation is,
[tex]\rm log_{0.5}x=log_32+x[/tex]
Logarithmic functions are given in the system of equations.
Solve the above equation using the properties of logarithmic function as;
[tex]\rm \dfrac{logx}{log0.5}=\dfrac{log2}{log3}+x[/tex]
The system of equation with the above equitation can be given as,
[tex]\rm y_1= \dfrac{logx}{log0.5}\\\\ y_2=\dfrac{log2}{log3}[/tex]
Hence, the system of equations that can be graphed to solve the given equation is;
[tex]\rm y_1= \dfrac{logx}{log0.5}\\\\ y_2=\dfrac{log2}{log3}[/tex]
Learn more about the system of equations here;
brainly.com/question/13729904