# Example 2 (Laws of Logarithms)

Example 2

Find the value of the following.
(a)${\mathrm{log}}_{2}7+{\mathrm{log}}_{2}12-{\mathrm{log}}_{2}21$

(b)$3{\mathrm{log}}_{10}5+2{\mathrm{log}}_{10}2-{\mathrm{log}}_{10}5$

(c)$2{\mathrm{log}}_{10}3-{\mathrm{log}}_{10}3+{\mathrm{log}}_{10}3\frac{1}{3}$

(d)${\mathrm{log}}_{3}3p+{\mathrm{log}}_{3}3q-{\mathrm{log}}_{3}pq$