Question

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

Answer 1

Check below

Explanation:

Product property of logarithm:
`\log (A* B)=\log A+\log B`

Example;
`\log 2+\log 3=\log (3* 2)=\log 6`

Quotient property of logarithm

`\log ((A)/(B))=\log A-\log B`

Example:
`\log 20-\log 4=\log ((20)/(4))=\log 5`

Power property of logarithm:

`\log A^n=n\log A`

Example:
`(1)/(2)\log 9=\log 9^{(1)/(2) }=\log √(9)=\log 3`