Some me!
use technology to approximate the solution(s) to the system of equations to the nearest tenth of a unit.
{f(x)=3^(x-7)
{g(x)=2log(2x)

x = 0.5, x = 7.8

Step-by-step explanation:

A graphing calculator can plot the two curves and show you their points of intersection to at least a few decimal places. The x-values where the curves intersect are seen to be 0.500 and 7.791. These round to the values shown above.

I find it convenient to graph the difference of the two functions (green) and look for the x-intercepts of that difference. Those have the same x-values as the coordinates where the individual curves (red and blue) cross.

The difference function, being a function that is zero at the points of interest, can also be used to refine the solutions by Newton's method iteration. In the attachment, the function h1(x) is the Newton's method iterator. When given a guess of a function zero, it refines that guess to a better one. When the first guess is the same as the second one, then that's the best guess there is (within the accuracy of the calculator). Here, we have shown the solutions to 12 significant figures—way beyond what your problem is asking for.

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step-by-step explanation: