1.5 Laws of exponents and introduction to logarithms

1.5 Laws of exponents and introduction to logarithms Quiz

IB Maths: Applications and Interpretation HL: Quiz

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  1. 1. Simplify 53×5−65^{3}\times5^{-6}.

    • A. 595^{9}
    • B. 5−35^{-3}
    • C. 5−185^{-18}
    • D. 25−325^{-3}

  2. 2. Which is equal to (2x)−3(2x)^{-3}?

    • A. −8x3-8x^{3}
    • B. 2x3\frac{2}{x^{3}}
    • C. 12x3\frac{1}{2x^{3}}
    • D. 18x3\frac{1}{8x^{3}}

  3. 3. Find log⁡101000+ln⁡e2\log_{10}1000+\ln e^{2}.

    • A. 55
    • B. 1212
    • C. 30023002
    • D. 66

  4. 4. Which statement is equivalent to 4x=704^{x}=70?

    • A. x=log⁡704x=\log_{70}4
    • B. x=704x=\frac{70}{4}
    • C. x=log⁡470x=\log_{4}70
    • D. x=704x=70^{4}

  5. 5. For which value of bb is log⁡10b\log_{10}b not defined?

    • A. b=0.001b=0.001
    • B. b=−5b=-5
    • C. b=1b=1
    • D. b=106b=10^{6}

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