Question

Explain and given an example for each of the logarithmic properties listed below:1. Product rule2. Quotient rule3. Power rule

Answer 1

Given:

Logarithmic properties:

Find: Product rule, Quotient rule, Power rule.

Sol:.

(1)

Product rule:

$\log (m\times n)=\log m+\log n$

(2)

Quotient rule:

$\log (\frac{m}{n})=\log m-\log n$

(3)

Power rule:

$\log (m^n)=n\log m$