(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.
Mathematics 9709 · AS & A Level · Logarithmic and exponential functions
Show that the equation $\log_{10}(x - 4) = 2 - \log_{10} x$ may be rearranged into a quadratic equation in $x$.
Hence solve the equation $\log_{10}(x - 4) = 2 - \log_{10} x$, and give your answer correct to $3$ significant figures.