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Nonlinear Functions

SAT Math· difficulty 4/5

Solve: 8x+1=42x−18^{x+1} = 4^{2x-1}.

  • A

    x=6x = 6

  • B

    x=5x = 5

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  • C

    x=3x = 3

  • D

    x=4x = 4

Explanation

Base 2: 23(x+1)=22(2x−1)⇒3x+3=4x−2⇒x=52^{3(x+1)} = 2^{2(2x-1)} \Rightarrow 3x + 3 = 4x - 2 \Rightarrow x = 5.

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