# What is x if #log(7x-12) - 2 log(x)= 1 #?

##### 1 Answer

Oct 22, 2015

Imaginary Roots

#### Explanation:

I think roots are imaginary

You may know that

So,

Thus the equation becomes

Also you may know

Hence the equation reduces to

log

You may also know,

if log a to base b is = c, then

For

So the equation reduces to

or

ie

This is a quadratic equation and the roots are imaginary, since