I have solved these equations but the directions require me to show work or provide an explanation and I don't know how.Here are the questions:

Write each of the following in exponential form:
1) log3 x = 9
3^9= x

2) log2 8 = x
8= 2^x

3) ln x = 2
e^2 = x

4) log x = 5
10^5= x

log3 (x) = 9

well what I would do is

3^(log3(x)) = x = 3^9

same for #2
3) e^lnx = x = e^2

Just one more step from what you showed