Step-by-step explanation:
Some of the property of log are as follows :
1. [tex]\text{log a}-\text{log b}=\text{log} \dfrac{\text{a}}{\text{b}}[/tex]
2. [tex]\text{log a}+\text{log b}=\text{log}(a{\cdot} b)[/tex]
3. [tex]\text{log}a^n=n\ \text{log} a[/tex]
Now coming to question,
(a) [tex]\text{log 5}-\text{log 8}=\text{log} \dfrac{\text{5}}{\text{8}}[/tex] (using property 1)
(b) [tex]\text{log 1}+\text{log 3}=\text{log}(1{\cdot} 3)=\text{log} 3[/tex] (using property 2)
(c) [tex]\text{log} 4=\text{log} 2^2=2\ \text{log} 2[/tex] (using property 3)
Hence, this is the required solution.
