Question: (10 points)

(a) Express \[\text{lo}{{\text{g}}_{\text{3}}}\text{x}=-\frac{1}{2}\] in exponential form and find x.

(b) Solve for x: \[\text{lo}{{\text{g}}_{\text{4}}}\text{x}=3\] .

(c) Determine the exact value of ln e³. (Do not give a calculator estimate.)