Question

How do you simplify `logx^2-logxy+4logy`?

Answer 1

`log ((x^2 y^4)/(xy))`

Explanation:

`logx^2-logxy+4logy`

3 log terms can be written as the log of a single term.

If logs are added, then the numbers are multiplied.
If logs are subtracted, then the numbers are divided.

`logx^2-logxy+4logy = logx^2-logxy+logy^4`

`log ((x^2 y^4)/(xy))`