A-LevelMathematicsLogarithmic and exponential functions9709/21 · May/June 2019 · Q13 Marks
Show that ln(x³ – 4x) – ln(x² – 2x) = ln(x + 2).
- Show that ln(x³ – 4x) – ln(x² – 2x) = ln(x + 2).[3]
Mark scheme
Marking points from the official mark scheme (May/June 2019). The mark or mark type is shown in brackets.
- [M1] Use logarithm subtraction property to produce logarithm of quotient
- [B1] Factorise at least as far as x(x² – 4) and x(x – 2) or use correct algebraic long division to obtain a quotient of x + 2 and a remainder of 0 from correct working
- [A1] Obtain final answer ln(x+2) using correct process
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