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Nonlinear Functions

SAT Math· difficulty 4/5

Solve: 4x⋅8x=3224^{x} \cdot 8^{x} = 32^{2}.

  • A

    x=5/2x = 5/2

  • B

    x=105x = \dfrac{10}{5}

  • C

    x=2x = 2

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  • D

    x=1x = 1

Explanation

Base 2: 22x⋅23x=210⇒5x=10⇒x=22^{2x} \cdot 2^{3x} = 2^{10} \Rightarrow 5x = 10 \Rightarrow x = 2.

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