Linear Law - Predictions from Linearised Models

A straight line graph is drawn for \(\lg y\) against \(x\) to represent the curve \(y = A^{(x+B)}\). Given that the line passes through the points \((0, 2)\) and \((5, 12)\), find the value of \(A\) and of \(B\). Hence, find the value of \(x\) when \(\frac{\lg y}{x} = 5\).