If 16 * 2\(^{(x + 1)}\) = 4\(^x\) * 8\(^{(1 - x)}\), find the value of x.

  • A -4
  • B 4
  • C 1
  • D -1
waec 2021mathematics

The correct answer is D. -1

16 * 2\(^{(x + 1)}\) = 4\(^x\) * 8\(^{(1 - x)}\) 

= 2\(^4\) * 2\(^{(x + 1)}\) = 2\(^{2x}\) * 2\(^{3(1 - x)}\)

--> 4 + x + 1 = 2x + 3 - 3x

collect like terms

--> x - 2x + 3x = 3 - 1 - 4

--> 2x = -2

--> x = -1

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