Question

2x^=32

Answer 1

2^x = 32
ask yourself how many times you have to multiply 2 with itsself to get 32

Answer 2

2^5=32

Answer 3

OR if you want the fancy mathematical answer:
2^x = 32
Taking logs of both sides:
x * log (2) = log (32)
x * 0.3010299957 = 1.5051499783
x = 1.5051499783 / 0.3010299957
x = 5