# How do you solve #log x + log(5 – x) = 0#?

##### 1 Answer

#### Explanation:

The key realization here is that we can use the logarithm property

Where

which can be simplified to

We essentially now have

Notice, what we have in blue is also equal to

Both sides of the equation have

What's left is

Turning this into a quadratic, we get

We can now apply the **Quadratic Formula**,

where

Plugging in, we get

Which simplifies to

Thus, our roots are equal to

Hope this helps!