# How do you express as a single logarithm & simplify #(1/2)log_a *x + 4log_a *y - 3log_a *x#?

##### 1 Answer

Jul 31, 2015

#### Answer:

#### Explanation:

To simplify this expression, you need to use the following logarithm properties:

Using the property (3), you have:

Then, using the properties (1) and (2), you have:

Then, you only need to put all the powers of

together: