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1 markPaper 1 · Multiple choiceExponential and Logarithmic Functions

CAPE Pure Mathematics Unit 1 · 2008 (T&T) · Paper 1 · Question Q6

3\log_2 2q - 2\log_2 3q + 1 expressed as a single logarithm in its SIMPLEST form is

  1. (A)\log_2\left(\frac{16q}{9}\right)
  2. (B)\log_2\left(\frac{8q}{9}\right)
  3. (C)\log_2\left(\frac{2q}{3}\right) + 1
  4. (D)\frac{3}{2}\log_2\left(\frac{2q}{3}\right) + 1

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