◈ Oracle Prep Sign Up Free

O-LevelAdditional MathematicsLogarithmic and exponential functions4037/12 · May/June 2024 · Q23 Marks

Given that log₃r+2log₉s = 8, find the value of rs.

Given that log₃r+2log₉s = 8, find the value of rs.[3]

Mark scheme

Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.

[3] rs = 6561 isw
B2 for log3 rs = 8 or log3 (rs)² = 16
B1 for 2log9 s = 2log3 s / log3 9 soi

Write your answer and get it marked

On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.

Sign up free →

About this question

Topic: Logarithmic and exponential functions, O-Level Additional Mathematics (syllabus 4037). Structured question, 3 marks.
Source: O-Level Additional Mathematics, May/June 2024 Paper 1 Variant 2, question 2.

Questions and mark schemes are from past examination papers and remain the copyright of the exam board. How Oracle Prep builds its content

Related Additional Mathematics questions

Logarithmic and exponential functionsMay/June 20131m

Solve 2log₄y - log₄(5y – 12) = 1/2. Which of the following is the smaller value of y?

Logarithmic and exponential functionsMay/June 20131m

Solve 2log₄y - log₄(5y – 12) = 1/2. Which of the following is the larger value of y?

Logarithmic and exponential functionsMay/June 20136m

Solve the equation 3^(p+1) = 0.7, giving your answer to 2 decimal places.

Permutations and combinationsMay/June 20117m

A shelf contains 8 different travel books, of which 5 are about Europe and 3 are about other regions.

Vectors in two dimensionsMay/June 20118m

A coastguard station receives a distress call from a ship which is travelling at 15 kmh⁻¹ on a bearing of 150°. A lif…

TrigonometryMay/June 201113m

Solve the equation 3 sinx + 4 cosx = 0 for 0° < x < 360°.

← Browse all past-paper questions