Solve the exponential equation \(3^x=81\) by expressing each side as a power of the same base and then equating exponents.

For the exponential fuction \(\displaystyle{f{{\left({x}\right)}}}={10}^{{x}}\), find \(\displaystyle f{{\left(\frac{3}{{2}}\right)}}\) \(\displaystyle f{{\left(\frac{3}{{2}}\right)}}=?\) Type an exact answer, using radicals as needed.

Express each radical expression in simplest radical form. \(\displaystyle\sqrt[3]{56}\)