exam Maths Puzzle Numerical Ability

Please help with the following problem: e^x = 2^x+1

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exam Other Question

how do i do this problem......how do i find the partial fraction decomposition for the rational expression.

-2x^2+4x-7
__________

(x^2+4)^2
How many positive real solutions are there in:

f(x) = -2x^4 + 3x^3 + 7x^2 + 2

a. 0
b. 2
c. 1
d. None, there is no x-term