# How do you solve #2(lnx)^2 + lnx =1#?

##### 1 Answer

Jul 2, 2016

Use a dummy variable to put the equation into a more familiar form, then substitute back in to get to

#### Explanation:

Let's start with the original:

In one sense, this is a very complex and complicated equation. But in another sense, we can change the form of the equation to a simple trinomial by substituting a dummy variable, say A, for

therefore:

now let's solve for A:

So

Which means that: