4.2.1(b) Example 2 (Laws of Logarithms)

Example 2

Find the value of the following.
(a)

\log_{2} 7 + \log_{2} 12 - \log_{2} 21

$\log_{2} 7 + \log_{2} 12 - \log_{2} 21$

(b)

3 \log_{10} 5 + 2 \log_{10} 2 - \log_{10} 5

$3 \log_{10} 5 + 2 \log_{10} 2 - \log_{10} 5$

(c)

2 \log_{10} 3 - \log_{10} 3 + \log_{10} 3 \frac{1}{3}

$2 \log_{10} 3 - \log_{10} 3 + \log_{10} 3 \frac{1}{3}$

(d)

\log_{3} 3 p + \log_{3} 3 q - \log_{3} p q

$\log_{3} 3 p + \log_{3} 3 q - \log_{3} p q$