Question

Obtain the equivalent exponential form of the following.
(i) ${\log }_{6}216=3$
(ii) ${\log }_{9}3=\frac{1}{2}$
(iii) ${\log }_{5}1=0$
(iv) ${\log }_{\sqrt{3}}9=4$
(v) ${\log }_{64}\left(\frac{1}{8}\right)=-\frac{1}{2}$
(vi) ${\log }_{0.5}8=-3$

Answer 1

(i) $6^3=216$

(ii) $9^{1/2}=3$

(iii) $5^0=1$

(iv) $(\sqrt{3}{)}^4=9$

(v) $(64{)}^{-1/2}=\frac{1}{8}$

(vi) $(0.5{)}^{-3}=8$