Question

Use technology to approximate the solution(s) to the system of equations to the nearest tenth of a unit.

Answer 1

(7.8, 2.4), (0.5, 0)

Explanation:

Here is a graph to better understand

Answer 2

x = 7.791

Explanation:

Given :

`f(x)=3^((x-7))`

`g(x) = 2 log (2x)`

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
`g(x) = 2 log (2x)`

Red line shows the graph of equation
`f(x)=3^((x-7))`

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