# How do you solve #3 log x = 6 - 2x#?

##### 1 Answer

Not sure if it can be solved

If you are really curious about the number, the answer is:

#### Explanation:

Other than using Newton's method, I am not sure if it is possible to solve this. One thing you can do is prove that it has at exactly one solution.

Set:

Defined for

For every **This means it can only have a maximum of one solution (1)**

Now to find all the values of

Therefore,

**(1) + (2) = (Maximum of one) + (At least one) = Exactly one**