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Nonlinear Functions

SAT Math· difficulty 4/5

For which value of xx does 2x2^x first exceed x3x^3 (integer)?

  • A

    x=9x = 9

  • B

    x=11x = 11

  • C

    x=8x = 8

  • D

    x=10x = 10

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Explanation

29=5122^9 = 512, 93=7299^3 = 729 (still less). 210=10242^{10} = 1024, 103=100010^3 = 1000 (exceeds).

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