Chapter 12.3, Problem 1E

To determine

The match of each logarithmic equation in Column I with the corresponding exponential equation in Column II.

I	II
a. ${\log }_{1/3}3=-1$	a. $8^{1/3}=\sqrt[3]{8}$
b. ${\log }_{5}1=0$	b. ${\left(\frac{1}{3}\right)}^{-1}=3$
c. ${\log }_2\sqrt{2}=\frac{1}{2}$	c. $4^1=4$
d. ${\log }_{10}1000=3$	d. $2^{1/2}=\sqrt{2}$
e. ${\log }_8\sqrt[3]{8}=\frac{1}{3}$	e. $5^0=1$
f. ${\log }_{4}4=1$	f. ${10}^3=1000$