# How to isolate x in this equation?

• March 6th 2013, 05:13 PM
Sneaky
How to isolate x in this equation?
Suppose we have this equation:

$y = 1 + x + \lceil \log_2(x)\rceil$

where $x$ is an integer > $0$.

How can we get $x$ as a function of $y$ (basically isolate $x$)? I don't understand how to handle the ceiling and the logarithmic function.

Thanks.
• March 6th 2013, 05:21 PM
chiro
Re: How to isolate x in this equation?
Hey Sneaky.

The short answer is that you can't since multiple values of x map to a single y.

You can only get an inverse function if you restrict the domain and range to be 1-1 or bijective.