Answer:
y1 = (Log x)/(Log 0.5)
y2 = [(Log 2)/(Log 3)] + x
Option D
Step-by-step explanation:
We are given;
Log_0.5_x = (Log_3_2) + x
To solve the equation graphically, we have to plot the graphs of these two functions and find the point of intersection of these graphs.
Using: log_a b = log b / log a
1) a = x, b=0.5
So, y1 = log0.5 x
Which gives; y1= (log x)/(log0.5)
2) a=2, b=3
So, y2 = (log_3 2) + x
So, y2 = (log 2 / log 3) +x
Hence, appropriate system is;
y1 = (Log x)/(Log 0.5)
And y2 = [(Log 2)/(Log 3)] + x
Looking at the options in the image attached, the correct solution that corresponds to our answer is Option D
