Question

Expanding logarithmic Expression In Exercise,Use the properties of logarithms to rewrite the expression as a sum,difference,or multipal of logarithms.See example 3.

In xy/z

Answer 1

`\ln({x)}+\ln({y)}-ln((z))`

Explanation:

we'll recall our logarithmic properties as we are solving the question:

`\ln{((xy)/(z))}`

• 
  `\ln{(a)/(b)} = ln((a))-ln((b))`

`\ln({xy)}-ln((z))`

• 
  `ln((ab)) = ln((a))+ln((b))`

`\ln({x)}+\ln({y)}-ln((z))`

and this is our changed logarithmic expression!