Question

Match the following with their simplified form for all $a,b>0,b\ne 1.$

• A. $\log \frac{a}{b}$
• B. $m\log a$
• C. $1$
• D. $\log ab$

Answer 1

Given $a,b>0$ and $b\ne 1$
Using the properties of logarithms,
we get:
(i) $\log a+\log b=\log ab$

(ii) $\log a-\log b=\log \frac{a}{b}$

(iii) $\log a^m=m\log a$

(iv) ${\log }_{b}b=1$