Question

Fill in the missing values to make the equations true.

Answer 1

Step-by-step explanation:

Some of the property of log are as follows :

1. $\text{log a}-\text{log b}=\text{log} \dfrac{\text{a}}{\text{b}}$

2. $\text{log a}+\text{log b}=\text{log}(a{\cdot} b)$

3. $\text{log}a^n=n\ \text{log} a$

Now coming to question,

(a) $\text{log 5}-\text{log 8}=\text{log} \dfrac{\text{5}}{\text{8}}$ (using property 1)

(b) $\text{log 1}+\text{log 3}=\text{log}(1{\cdot} 3)=\text{log} 3$ (using property 2)

(c) $\text{log} 4=\text{log} 2^2=2\ \text{log} 2$ (using property 3)

Hence, this is the required solution.