- #1

Potatochip911

- 318

- 3

## Homework Statement

Solve for the point of intersection between ##y=\log_{2}{(2x)}## and ##y=\log_{4}{(x)}##

## Homework Equations

3. The Attempt at a Solution [/B]

Setting the two equations equal:

$$\log_{2}{(2x)}=\log_{4}{(x)}\\

2x=2^{\log_{4}{(x)}} \\

2^{2x}=4^{\log_{4}{(x)}}\\

2x=2\log_{4}{(x)}\\

x=\log_{4}{(x)} \\

4^x=x \\ $$

I'm really confused and I'm pretty sure I've done something wrong at this point.