Waec Model Questions Vol1 2018 Mathematics Question 3

Practice essay / theory question 3 from the 2018 Waec Model Questions Vol1 Mathematics examination. This question covers Indices, Logarithms, Surds .

Waec Model Questions Vol1 2018 Mathematics Essay / Theory
Topics: Indices Logarithms Surds
Question 3 WAEC_MODEL_QUESTIONS_VOL1 • 2018 • MATHEMATICS • essay

Let a and b be positive real numbers such that \(a^{\log_{2}16}=b^{\log_{3}9}\) and \((a/b)^{1/2}=3\).

Question Parts

( a )
Show that the condition \(a^{\log_{2}16}=b^{\log_{3}9}\) leads to the algebraic relation \(a^{2}=b\).
( b )
Using the relation \(a^{2}=b\) together with \((a/b)^{1/2}=3\), determine the numerical values of \(a\) and \(b\).
( c )
Evaluate the expression \(\sqrt{a}+\sqrt{b}\) and give your answer as a fraction in lowest terms.

Detailed Solution & Marking Scheme

Get the step-by-step solution, key points required by examiners and detailed marking guidance through the Edcrib AI Tutor.

Reveal Answer

About This Question

This is Waec Model Questions Vol1 2018 Mathematics Question 3. It is one of the essay questions from the 2018 Waec Model Questions Vol1 Mathematics examination.

The question covers Indices, Logarithms, Surds .

View More Waec Model Questions Vol1 2018 Mathematics Questions More Waec Model Questions Vol1 Practice Questions Back to Questions

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Chat with Support