Question

Which system of equations could be graphed to solve the equation below? log Subscript 0. 5 Baseline x = log Subscript 3 Baseline 2 x y 1 = StartFraction log 0. 5 Over x EndFraction , y 2 = StartFraction log 3 Over 2 x EndFraction y 1 = StartFraction log x Over log 0. 5 EndFraction, y 2 = StartFraction log 2 x Over log 3 EndFraction y 1 = StartFraction log 0. 5 Over log 3 EndFraction, y 2 = StartFraction log x Over log 2 x EndFraction y 1 = StartFraction log x Over log 0. 5 EndFraction, y 2 = StartFraction log 2 Over log 3 EndFraction x.

Answer 1

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

System of equations which can be graphed to solve the given equation are,

$y_1=\dfrac{\log x}{\log0.5}\\y_2=\dfrac{\log 3}{\log2}$

Thus the option D is the correct option.

What is system of equation?

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Given information-

The given logarithmic equation is,

$\log _{0.5}x=log_32+x$

Logarithmic function are given in the  system of equation.

Solve the above equation using the properties of logarithmic function as,

$\dfrac{\log x}{\log0.5}=\dfrac{\log 2}{\log3}+x$

The system of equation with the above equitation can be given as,

$y_1=\dfrac{\log x}{\log0.5}\\y_2=\dfrac{\log 3}{\log2}$

Hence, system of equations which can be graphed to solve the given equation are,

$y_1=\dfrac{\log x}{\log0.5}\\y_2=\dfrac{\log 3}{\log2}$

Thus the option D is the correct option.

Learn more about the system of equations here;

https://brainly.com/question/13729904

Answer 2

Answer:

the answer is B

Step-by-step explanation: