book Maths Puzzle Numerical Ability

0.9872^X=0.5

how do i figure out what X is without just putting in numbers and seeing if they equal 0.5?

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book Other Question

i need some one to give the steps one by one for this problem.

f(x)=2x^2-x^4+5x^2-x if f(x)=3

i'm using the synthetic substituion of polynomials Please help me. I tried to figure this out but I am wrong. 2X^4+11X^3+19X^2+X-29=(X^2+4X+6)*(_____)+(_____) Thank you.