Based on the graph, what are the approximate solutions to the equation -2x + 8 = (0.25)^x?

Solution:

Given, the equation is -2x + 8 = (0.25)^x

The graph for the equation -2x + 8 = (0.25)^x is

The solution is the point where both the graphs intersect.

Based on the graph, the intersection points are (-1.72, 12) and (4,0) approximately.

Therefore, the approximate solutions to the equation are -1.7 and 4.

Based on the graph, what are the approximate solutions to the equation -2x + 8 = (0.25)^x?

Summary:

Based on the graph, the approximate solutions to the equation -2x + 8 = (0.25)^x are -1.7 and 4.