Gce Model Questions Vol1 2021 Mathematics Question 43

Practice objective / multiple choice question 43 from the 2021 Gce Model Questions Vol1 Mathematics examination.

Gce Model Questions Vol1 2021 Mathematics Objective / Multiple Choice Medium Difficulty
Question 43 GCE_MODEL_QUESTIONS_VOL1 • 2021 • MATHEMATICS • objective

Solve for \(x\) in the equation \(2^{x+1}=5\cdot4^{\,x-2}\). Using this value of \(x\), evaluate \(\log_{2}\bigl(x^{2}-3x+2\bigr)\). Give your final answer in exact form.

Answer Options

A. \log_{2}\bigl((\log_{2}5+3)(\log_{2}5-4)\bigr)
B. \log_{2}\bigl((\log_{2}5-3)(\log_{2}5-5)\bigr)
C. \log_{2}\bigl((\log_{2}5-3)+(\log_{2}5-4)\bigr)
Correct Answer D. \log_{2}\bigl((\log_{2}5-3)(\log_{2}5-4)\bigr)
Correct Answer
D
Correct Option:
\log_{2}\bigl((\log_{2}5-3)(\log_{2}5-4)\bigr)

About This Question

This is Gce Model Questions Vol1 2021 Mathematics Question 43. It is one of the objective questions from the 2021 Gce Model Questions Vol1 Mathematics examination.

Difficulty level: Medium .

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