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Solve for x in the following equations: (i) (0.25)^x+1 = 16

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Question One

Part a(i)· 2 steps

(0.25)x+1=16(0.25)^{x+1} = 16

Solve for xx in the following equations

  1. Express both sides with the same base.

    (14)x+1=16\left(\frac{1}{4}\right)^{x+1} = 16 (4−1)x+1=42(4^{-1})^{x+1} = 4^2 4−(x+1)=424^{-(x+1)} = 4^2

  2. Equate the exponents.

    −(x+1)=2-(x+1) = 2 −x−1=2-x - 1 = 2
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