Question

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

Answer 1

Answer:

x = 7.791

Step-by-step 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

Answer 2

Using technology, we do

https://www.desmos.com/calculator
graph
y=3^(x-7)
y=2log(2x)
see where they intersect




we get at x=7.79
nearest tenth is 7.8