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

Logarithmic and exponential functions — practice question

(a)[3]

Show that the equation $\log_{4}(2x + 1) = 2\log_{4}(3x - 1) - 2$ can be rewritten as a quadratic in $x$.

(b)[2]

Hence solve the equation $\log_{4}(2x + 1) = 2\log_{4}(3x - 1) - 2$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or imply that $2=\log_4(4^2)$” …