The value of log₅ 75 - log₅ 3 is :

1. 72

2. 2

3. 25

4. 5

Given,

$\Rightarrow \text{log}_{5} \space 75 - \text{log}_{5} \space 3 \\[1em] \Rightarrow \text{log}_{5} \space {\dfrac{75}{3}} \\[1em] \Rightarrow \text{log}_{5} \space 25 \\[1em] \Rightarrow \text{log}_{5} \space 5^2 \\[1em] \Rightarrow 2 \times \text{log}_{5} \space 5 \\[1em] \Rightarrow 2 \times 1 \\[1em] \Rightarrow 2.$

Hence, Option 2 is the correct option.