# How do you solve #log_(6)x + log_(6)3 = 2#?

##### 1 Answer

Jun 11, 2018

#### Explanation:

We can start by subtracting

We can apply the logarithm rule

where our

Let's simplify what I have underlined:

Which simplifies to

Further simplifying, we get

Remember, this is the underlined portion of our equation. We have

Since the bases are the same, we now have

All we did was:

- Subtract to get logs on both sides
- Rewrite the expression in a form we can deal with
- Simplify the expression using many exponent properties
- Realized that the bases are the same, so they basically cancel

Hope this helps!