Neco Model Questions Vol1 2024 Mathematics Question 3

Practice essay / theory question 3 from the 2024 Neco Model Questions Vol1 Mathematics examination. This question covers Indices, Logarithms, Surds .

Neco Model Questions Vol1 2024 Mathematics Essay / Theory

Topics: Indices Logarithms Surds

Question 3 NECO_MODEL_QUESTIONS_VOL1 • 2024 • MATHEMATICS • essay

A positive real number \(a\) satisfies \(\sqrt{a}=2^{\frac13}\). It is also given that \(2^{x}\,a^{2x}=8\).

Question Parts

( a )

Determine the value of \(a\).

( b )

Using the value of \(a\) found in part (a), solve for \(x\).

( c )

Evaluate the expression \(E = a^{x}+a^{-x}\) using the values of \(a\) and \(x\) obtained above. Give your answer in simplest surd form.

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About This Question

This is Neco Model Questions Vol1 2024 Mathematics Question 3. It is one of the essay questions from the 2024 Neco Model Questions Vol1 Mathematics examination.

The question covers Indices, Logarithms, Surds .

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