5.2(a) Example 1 (Logarithms)

Example 1
Find the value of each of the following :
(a) ${\log }_{2}64$
(b) ${\log }_{3}1$
(c) ${\log }_{5}5$
(d) ${\log }_{\frac{1}{2}}4$
(e) ${\log }_{8}0.25$

Example 2
Solve the following equations:
(a) ${\log }_{3}5x=2$
(b) ${\log }_{x+1}81=2$
(c) ${\log }_{x}5x-6=2$