Question

Provide an example of the product, quotient, and power properties of logarithm

Answer 1

Answer:

Step-by-step explanation:

1) The multiplication rule for logarithms states that:

$log_{a} x +log_{a} y = log_{a} xy$

Example:

log⁡(4)+log⁡(4/9)=log⁡(16/9)

2) The division rule for the logarithms states that:

$log_{a} x -log_{a} y = log_{a} \frac{x}{y}$

Example:

log⁡(5)-log⁡(6)=log⁡(5/6)

3) The power rule for logarithms state that:

$log_{a} x^{y} = log_{a} xy$

Example:

$log_{10}5^{2} = 2log_{10}5$