Bece Model Questions Vol1 2024 Mathematics Question 9

Practice essay / theory question 9 from the 2024 Bece Model Questions Vol1 Mathematics examination. This question covers Indices .

Bece Model Questions Vol1 2024 Mathematics Essay / Theory
Topic: Indices
Question 9 BECE_MODEL_QUESTIONS_VOL1 • 2024 • MATHEMATICS • essay

Consider the expression involving indices: \[ \frac{2^{x}\,\cdot\,3^{2x}}{6^{\,x-1}} = 54 \] Answer the following questions.

Question Parts

( a )
Using the laws of indices, rewrite the left‑hand side in the form \(2^{m}\,\cdot\,3^{n}\). State the values of \(m\) and \(n\).
( b )
Hence solve for the integer value of \(x\) that satisfies the equation.
( c )
Define \(y = 2^{x}\,\cdot\,3^{x}\). Using the value of \(x\) found, compute \(y\).

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About This Question

This is Bece Model Questions Vol1 2024 Mathematics Question 9. It is one of the essay questions from the 2024 Bece Model Questions Vol1 Mathematics examination.

The question covers Indices .

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