◈ Oracle PrepSign Up Free
O-LevelAdditional MathematicsLogarithmic and exponential functions4037/11 · May/June 2025 · Q87 Marks

Write down the set of values of x for which log₅(12x-4) exists.

  1. (a)Write down the set of values of x for which log₅(12x-4) exists.[1]
  2. (b)Solve the equation log₅(12x-4) = 6/logₓ125 + 1.[6]

Mark scheme

Marking points from the official mark scheme (May/June 2025). The mark or mark type is shown in brackets.

  1. [B1] x > 4/12 oe
  2. [B1] for a correct and relevant change of base seen
  3. [B1] Dep on correct change of base
  4. [B1] Dep on correct change of base
  5. [B1] Dep on correct change of base
  6. [M1] dep on at least one previous B1 awarded
  7. [A1] x = 0.4, 2

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, 7 marks.
Source
O-Level Additional Mathematics, May/June 2025 Paper 1 Variant 1, question 8.

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 20136m

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

Logarithmic and exponential functionsMay/June 20138m

The graph of y = k(3ˣ) + c passes through the points (0, 14) and (–2, 6). Find the value of k and of c.

Logarithmic and exponential functionsMay/June 20147m

Given that 2⁵ˣ × 4ʸ = 1/8, show that 5x + 2y = -3.

TrigonometryMay/June 201113m

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

Differentiation and integrationMay/June 20113m

Given that y = sin 3x, find dy/dx

Equations, inequalities and graphsMay/June 20115m

Given that A = (2 1 / -2 5)

← Browse all past-paper questions

© 2026 Oracle Prep