Question

Solve the equation 2^x = 3x−2?

Answer 1

2 is a solution by inspection. i.e. replace x by 2 and see that it works

Answer 2

other solution will not be determined by algebra. you will have to use a graphing utility to find it

Answer 3

although i could be wrong. what i mean is that "i cannot do it using algebra"

Answer 4

haha ok

Answer 5

That pretty much sums it up. The easiest way to do it is to graph both equations and find the intersection.

Answer 6

You will need a numerical technique to find the 2nd root

Answer 7

\[x\approx2.224545912\]