Easy Problem...

[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.

[matt grime]

who says you can do it algebraically?

[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 (http://mathworld.wolfram.com/LambertW-Function.html)

Daniel.

[amcavoy]

Alright well thanks for your help.