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

Logarithmic and exponential functions — practice question

(a)[3]

Show that the equation $\log_3(2x + 1) = 1 + 2\log_3(x - 1)$ can be rearranged into a quadratic equation in $x$.

(b)[2]

Hence solve the equation $\log_3(4y + 1) = 1 + 2\log_3(2y - 1)$, and give your answer correct to 2 decimal places.

Worked solution & mark scheme

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