Target Mathematics
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Course

  • Add Math 0606
  • FPM 4PM1

FPM 4PM1 topics

  • 1. Surds and Logarithmic Functions42
  • 2. The Quadratic Function34
  • 3. Inequalities and Identities14
  • 4. Sketching Polynomials15
  • 5. Sequences and Series31
  • 6. The Binomial Series15
  • 7. Scalar and Vector Quantities22
  • 8. Rectangular Cartesian Coordinates29
  • 9. Differentiation69
  • 10. Integration29
  • 11. Trigonometry67

Study tools

  • FPM 4PM1 overview
Further Pure Mathematics 4PM1 / Surds and Logarithmic Functions / 1.9

1.9: Simultaneous logarithmic and exponential equations

4PM1/2/June/2021 — Question 8 · 8 marks

·
Use an algebraic method to solve the simultaneous equations
log4a+3log8b=52,\mathrm{log}_4a+3\mathrm{log}_8b=\frac52,log4​a+3log8​b=25​,
2a=1644b2.2^a=\frac{16^4}{4^{b^2}}.2a=4b2164​.
(8)
← 1.8: 4PM1/2/June/2021 — Question 71.10: 4PM1/1R/November/2020 — Question 9 →
Target Mathematics · Topic questions and official mark schemes