I'e been stuck on these questions for a few days now and could really use some help on these 5.

Question

Answer 1

4^x = (3/2)x +2

has a solution near x=0.86

Try graphing both sides of the equation, even a rough sketch narrows down the possible solutions for x

4^x is an upward sloping exponential curve with y-intercept = 1

3x/2 +2 is a straight line with slope =3/2 and y intercept =2

they clearly intersect between x=1/2 to x=1

4^.86= 3.29

(3/2)(.86) +2 = 3.29

and just one intersection, just one unique solution