Neco 2024 Mathematics Question 3

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

Neco 2024 Mathematics Essay / Theory

Topics: Indices Logarithms Surds

Question 3 NECO • 2024 • MATHEMATICS • essay

Consider the following expressions involving indices, logarithms and surds:

( a )

Simplify \(\dfrac{2^{3}\,\times\,4^{x}}{8^{\,x-1}}\) and express the result as a single power of 2.

( b )

If the simplified result from part (a) is equal to \(2^{5}\), determine the value of \(x\).

( c )

Evaluate \(\log_{2}\bigl(\sqrt{32}\bigr)\) and give your answer as a rational number.

( d )

Using the value of \(x\) found in part (b), compute \(\log_{2}\bigl(2^{x}\times\sqrt{32}\bigr)\). Express the answer as a rational number.

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

The question covers Indices, Logarithms, Surds .

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