Solve the equation log 3(x-8)=2. Solution Before solving the equation, which is a logarithmical equation, we have to find out the restrictive domain for the x values. For this reason, we have to impose the condition that x-8>0. x>8, that means that x belongs to the interval (8, +inf). Now, we can solve the equation: x-8=3^2 x-8=9 x=9+8 x=17 The solution is acceptable because is belonging to the interval of allowed x values.