Chapter C, Problem 10E

(a)

To determine

To deduce: The law of logarithms: ${\log }_a\left(xy\right)={\log }_{a}x+{\log }_{a}y$.

(b)

To determine

To deduce: The law of logarithms: ${\log }_a\left(\frac{x}{y}\right)={\log }_{a}x-{\log }_{a}y$.

(c)

To determine

To deduce: The law of logarithms: ${\log }_a\left(x^y\right)=y{\log }_{a}x$.