# How do you solve #log_2(4x)=log_2(x+15)#?

##### 2 Answers

Mar 16, 2018

Since both sides are taking the same logarithm, you can directly compare the terms inside the parentheses and find that

#### Explanation:

The easy way to look at this is by realizing that you can compare the in-parentheses terms directly. This is because they're both logarithms of the same base.

A base-2 log has equivalence like this:

So if:

and

then

Now, we can solve for

Mar 16, 2018

#### Explanation:

Or,

So,

Or,

So,