# Solve for x with exponents

• September 9th 2009, 07:45 AM
hatsoff
Solve for x with exponents
Hey, guys.

I can't seem to remember how to solve for $x$ in situations like this:

$xa^x=b$

(where $a,b$ are real constants).

Any ideas?

Thanks!
• September 9th 2009, 08:59 AM
e^(i*pi)
Quote:

Originally Posted by hatsoff
Hey, guys.

I can't seem to remember how to solve for $x$ in situations like this:

$xa^x=b$

(where $a,b$ are real constants).

Any ideas?

Thanks!

Algebraically you cannot solve, you must use an iterative method:

$ln(x) + x\,ln(a) = ln(b)$