Question

Based on the graph, what are the approximate solutions to the equation −3x + 8 = (0.25)x?

Answer 1

Let

$f(x)=3x+8$

$g(x)=0.25^{x}$

in this problem

f(x)=g(x)

so

$3x+8=0.25^{x}$

using a graph tool

the solution is the intersection of both graphs

see the attached figure

the solutions are

x=-1.89

x=2.66