Which Is The Only Solution To The Equation Log3(X2 + 6X) = Log3(2X + 12)?

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Question

Which is the only solution to the equation log3(x2 + 6x) = log3(2x + 12)? x = –6 x = –2 x = 0 x = 2 x = 6

Answer

Answer:Option 4th is correctx = 2Step-by-step explanation:Using logarithmic rule:then; x = yGiven the equation:Apply the rule:Subtract 2x from both sides we have;Subtract 12 from both sides we have;⇒⇒⇒by zero product property we have:x+6 =0 and x-2 = 0⇒x= -6 and x = 2Since, at x = -6 it does not satisfy the given equation.Therefore, the only solution to the given equation is, x = 2

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