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

Logarithmic and exponential functions — practice question

(a)[5]

Determine the value of $x$ that satisfies the equation $2\ln(x - 4) - \ln x = \ln 2$.

(b)[3]

Use logarithms to determine the smallest integer that satisfies the inequality $1.4^y > 10^{10}$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use the power law to get $\ln (x-4)^2$” …