Chapter G, Problem 10E

(a)

To determine

To deduce: The law of logarithms, ${\log }_b\left(xy\right)={\log }_{b}x+{\log }_{b}y$ from the law of exponents for $b^x$.

(b)

To determine

To deduce: The law of logarithms, ${\log }_b\left(\frac{x}{y}\right)={\log }_{b}x-{\log }_{b}y$ from the law of exponents for $b^x$.

(c)

To determine

To deduce: The law of logarithms, ${\log }_b\left(x^y\right)=y{\log }_{b}x$ from the law of exponents for $b^x$.