A-LevelMathematicsLogarithmic and exponential functions9709/32 · Feb/Mar 2021 · Q13 Marks
Solve the equation ln(x³ – 3) = 3 ln x – ln 3. Give your answer correct to 3 significant figures.
- Solve the equation ln(x³ – 3) = 3 ln x – ln 3. Give your answer correct to 3 significant figures.[3]
Mark scheme
Marking points from the official mark scheme (Feb/Mar 2021). The mark or mark type is shown in brackets.
- [M1] Use law of the logarithm of a product or power
- [A1] Obtain a correct equation free of logarithms, e.g. 3(x³-3) = x³
- [A1] Obtain x = 1.65
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