Answer:
x = 7.791
Step-by-step explanation:
Given :
[tex]f(x)=3^{(x-7)}[/tex]
[tex]g(x) = 2 log (2x)[/tex]
Solution : since we are given that we have to use technology for finding the solution to the given system of equations
So, we will use desmos calculator to find the solution .
The intersecting point of given two equations will be the solution of this system of equation .
So, by putting given equations in desmos calculator we get the resultant figure (attached figure).
Blue line shows the graph of equation [tex]g(x) = 2 log (2x)[/tex]
Red line shows the graph of equation [tex]f(x)=3^{(x-7)}[/tex]
Now we can see in the figure the intersecting point is (7.791,2.385)
So, the x coordinate i.e. 7.791 is the solution of system of equation
