Question 174103
Well, you want to work out each function for each value of x so using f(x) = 10^x and g(x) = ln(x), you get:

f(1) = 10
f(2) = 100
f(4) = 10000
f(8) = 100000000
f(16) = 10000000000000000

g(1) = 0
g(2) = 0.69
g(4) = 1.39
g(8) = 2.08
g(16) = 2.77

So, 10^x increases faster the higher x is, but ln(x) increases at a slower rate the higher x goes.  It also helps to understand that ln(2^x) = x*ln(2) as this relates all the answers for ln(x).