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

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
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