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If log 2 = x, log 3 = y and log 7 = z, find,...

Mathematics
WAEC 2009

If log 2 = x, log 3 = y and log 7 = z, find, in terms of x, y and z, the value of log (\(\frac{28}{3}\))

  • A. 2x + y - z
  • B. 2x + z - y
  • C. x + y - 2x
  • D. x + x - y
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Correct Answer: Option B
Explanation

log (\(\frac{28}{3}) = \log (\frac{7 \times 4}{3})\)

= log 7 + log 4 - log 3

log 7 + log \(2^2\) - log 3 = log 7 + 2log2 - log 3

= z + 2x - y

= 2x + z - y


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