Solve the equation log 4 (x-8) = 2 . Solution Before solving the equation, we have to impose constraints of existance of logarithm function. x-8>0 We\'ll add 8 both sides: x>8 So, in order to exist, the values of x have to be in the interval (8, +inf.) Now, we\'ll solve the equation: x-8 = 4^2 x-8 = 16 We\'ll add 8 both sides: x = 16+8 x = 24 The solution is admissible because is in the interval (8,+inf.)..