Any help with this would be greatly appreciated... I haven't been using maths since I finished high school but have a maths test to do tomorrow as part of an interview. Here is a sample question, and I have no idea where to begin with it!

Provide reasoning that the equation:

10 = exp(-2x) + 2^x

has at least one solution in the range 0 <x < 5

Use the Newton Raphson technique to find an approximate solution to the equation.

The Newton Raphson formula provided is:

$\displaystyle

x_2 = x_1 - f(x_1) / f '(x_1)

$