Mathematics 9709 · AS & A Level · Logarithmic and exponential functions

Logarithmic and exponential functions — practice question

(i)[3]

Show that the equation $\log_2(x + 5) = 5 - \log_2 x$ may be expressed as a quadratic equation in $x$.

(ii)[2]

Hence find the solution of the equation $\log_2(x + 5) = 5 - \log_2 x$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Apply a law for the logarithm of a product or quotient” …

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