Suppose that $x = \ln(A)$ and $y = \ln(B)$. Write the following expressions in terms of $x$ and $y$ (so you cannot have an A or B anywhere in your answers).

(a) $\ln(AB) =$ help (formulas)

(b) $\ln( A^{3} \cdot \sqrt{B} ) =$ help (formulas)

(c) $\displaystyle \frac{ \ln(A) }{ \ln(B) } =$ help (formulas)

(d) $\displaystyle \ln \left( \frac{A}{B} \right) =$ help (formulas)

(e) $AB =$ help (formulas)

(f) $\ln(A-B) =$ help (formulas)