# Easy Problem

1. May 5, 2005

### amcavoy

Wow, I can't believe I couldn't do this.

$$4^x=8x$$

I tried taking the natural logarithm of both sides, but that didn't help very much. I can see that an answer is 2, but I want to know how to get to that algebraicly.

2. May 5, 2005

### matt grime

who says you can do it algebraically?

3. May 5, 2005

### dextercioby

It has 2 real solutions which can be found graphically.The equation is transcendental.

The solutions are expressible in terms of the Lambert function

Daniel.

Last edited: May 5, 2005
4. May 5, 2005

### amcavoy

Alright well thanks for your help.