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Nonlinear Functions

SAT Math· difficulty 4/5

Solve: 25x+1=53x25^{x+1} = 5^{3x}.

  • A

    x=2x = 2

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  • B

    x=1x = 1

  • C

    x=−2x = -2

  • D

    x=4x = 4

Explanation

25=5225 = 5^2: 52(x+1)=53x⇒2x+2=3x⇒x=25^{2(x+1)} = 5^{3x} \Rightarrow 2x + 2 = 3x \Rightarrow x = 2.

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