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    IBHardFunctions10–12

    A Logarithmic Equation with a Root to Reject

    Uma Equação Logarítmica com uma Raiz a Rejeitar

    Solve log⁡2x+log⁡2(x−2)=3\log_{2} x + \log_{2}(x - 2) = 3.

    Combine the two logarithms into one before removing them, then rewrite the equation without logarithms. Note which values of xx the original equation even allows — that check belongs at the end, on every root you obtain.

    Solution

    Step 1 of 8

    1. 1.Combine the logarithms: