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

Logarithmic and exponential functions — practice question

(i)[2]

Solve the equation $2^x = 20^5$ by using logarithms, and give your answer correct to 3 significant figures.

(ii)[2]

Hence determine how many integers $n$ satisfy $20^{-5} < 2^n < 20^5$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Take logarithms and apply the power law” …