Simplify \(\frac{1 - 2\sqrt{5}}{2 + 3\sqrt{2}}\).
Solve: \(2\cos x - 1 = 0\).
Solve: \(4(2^{x^2}) = 8^{x}\)
If \(\log_{3} x = \log_{9} 3\), find the value of x.
Find the 3rd term of \((\frac{x}{2} - 1)^{8}\) in descending order of x.
