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

Logarithmic and exponential functions — practice question

(i)[3]

Show that the equation $\log_{10}(x - 4) = 2 - \log_{10} x$ may be rearranged into a quadratic equation in $x$.

(ii)[2]

Hence solve the equation $\log_{10}(x - 4) = 2 - \log_{10} x$, and give your answer correct to $3$ significant figures.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply the rule for logarithms of a product or quotient

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