Question

Let f(x)=2x and g(x)=2x

Graph functions on the same coordinate plane.
What solutions to the equations f(x)=g(x)?

Answer 1

Rewrite (Lambert form):

`e^{\ln \left(2\right)\left(1-\left(-(u)/(\ln \left(2\right))\right)\right)}\left(-(u)/(\ln \left(2\right))\right)=1`

Simplify :

`-(e^(\ln \left(2\right)+u)u)/(\ln \left(2\right))=1`

Solve:

`u=-2\ln \left(2\right),\:u=-1\cdot \ln \left(2\right)`

Result:

`x=2,\:x=1`

Hope this helped u :)

If this was too complicated I can edit it for you.