# How do you solve #log_4 x =2-log_4 (x+6)#?

##### 1 Answer

Mar 7, 2016

#### Explanation:

First, combine all the logs on one side then use definition to change from the sum of the logs to the log of a product. Then use the definition to change to exponential form and then solve for x. Note that we cannot take a log of a negative number so -8 is not a solution.