# How do you solve #log_2 (3x)-log_2 7=3#?

##### 1 Answer

Jul 8, 2016

#### Answer:

Use a property of logs to simplify and solve an algebraic equation to get

#### Explanation:

Begin by simplifying

Note that this property works with logs of every base, including

Therefore,

We want to get rid of the logarithm, and we do that by raising both sides to the power of

Now we just have to solve this equation for

Since this fraction cannot be simplified further, it is our final answer.