5^(-x) + 7 = 2x +4
Approximate the roots of the function:
First, construct a function:
f(x)= 5^(-x) + 7 -2x -4
Combine like terms
f(x)= 5^(-x) -2x +3
Use the crossing point given by the graph x=1.5
f(1.5 )= 5^(-1.5) -2(1.5) +3 = 0.089
Move up to x= 1.52
f(1.52)= 0.046
Move up to x= 1.54
f(1.54)= 0.038
x=1.54 is close enough to the solution
From the options given , the closer solution is 25/16
