Question

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

Answer 1

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) (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`