I am not sure what to do with the following problems.

We are suppose to solve using algebraic method and give an exact answer in order to receive the most credit.

These are just some examples (there is alot more) but i feel that once i understand how to do these the rest will be some wat easier to figure out.

a)x^log(x)= x^3/100

b)3< 3e^(1/x^2+1)<3e

c)|10^x^2-10000|<9000

Once again thank you very much for any help. I really appreciate it.

-Gus