Solve for x: log₃(x + 1) - 1 = 3 + log₃(x - 1)

Solve for x: 5^{log x} + 3^{log x} = 3^{log x + 1} - 5^{log x - 1}.

If p = log₁₀ 20 and q = log₁₀ 25, find the value of x if

2log₁₀ (x + 1) = 2p - q