1.5 Laws of exponents and introduction to logarithms

1.5 Laws of exponents and introduction to logarithms Quiz

IB Maths: Analysis and Approaches HL: Quiz

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  1. 1. Simplify 12x−34x2\dfrac{12x^{-3}}{4x^{2}}.

    • A. 3x−53x^{-5}
    • B. 3x−13x^{-1}
    • C. 8x−58x^{-5}
    • D. 3x−63x^{-6}

  2. 2. Simplify (3x−2)3(3x^{-2})^{3}.

    • A. 27x−627x^{-6}
    • B. 9x−69x^{-6}
    • C. 27x127x^{1}
    • D. 3x−63x^{-6}

  3. 3. Which is equivalent to log⁡10x=2.3\log_{10}x = 2.3?

    • A. x=102.3x = 10^{2.3}
    • B. x=2.310x = 2.3^{10}
    • C. x=e2.3x = e^{2.3}
    • D. x=10×2.3x = 10\times2.3

  4. 4. Solve e2x=20e^{2x} = 20, giving xx to 3 s.f.

    • A. 1.50
    • B. 3.00
    • C. 10.0
    • D. 0.651

  5. 5. Evaluate log⁡10(10−7)\log_{10}\left(10^{-7}\right).

    • A. -7
    • B. 7
    • C. 10−710^{-7}
    • D. 0.7

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