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Write the equation 2 log2x - x log2(1 + y) = 3 in a form...

Mathematics
JAMB 1982

Write the equation 2 log2x - x log2(1 + y) = 3 in a form not involving logarithms

  • A. 2x(1 + y) = 3
  • B. 2x - x(1 + y) = 8
  • C. x2 = 8(1 + y)x
  • D. x2 - x(1 + y) = 8
  • E. x2 - (1 + y)2 = 8
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Correct Answer: Option C
Explanation

2log2 x - x log2 (1 + y) = 3

log2 \(\frac{x^2}{(1 + y)^x}\) = 3

= \(\frac{x^2}{(1 + y)^x}\)

= 23

= 8

= x2 = 8(1 + y)x


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