Exponents And Logarithms Quiz 1

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| By Annacabral
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Annacabral
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Quizzes Created: 29 | Total Attempts: 18,631
Questions: 11 | Attempts: 541

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Exponents And Logarithms Quiz 1 - Quiz

Exponents and Logs


Questions and Answers
  • 1. 

    Log3(1/27)

    Explanation
    The expression log3(1/27) can be rewritten as log3(3^-3). Since log3(3^-3) is the exponent to which we need to raise 3 to obtain 3^-3, the answer is -3.

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  • 2. 

    Log82

    Explanation
    8^x = 2
    2^3x = 2^1
    3x = 1
    x = 1/3

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  • 3. 

    Ln(e4)

    Explanation
    log base 3 of e^4 has to be 4.
    e^x = e^4, so x = 4

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  • 4. 

    Log25(1/5)

    Explanation
    25^(1/2) is the sqrt of 25 = 5, to get it in the denominator, make the power negative.

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  • 5. 

    Logx256=2

    Explanation
    x^2=256
    x=sqrt(256) = 16

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  • 6. 

    Log(1/10,000)

    Explanation
    10^(-4) = 1/(10^4) = 1/10,000

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  • 7. 

    What is the inverse of y = log7x?Use ^ to indicate an exponent

    Explanation
    An exponential equation with the same base is the inverse of a logarithmic equation.

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  • 8. 

    How much money did you invest compounded continuously if ended up with $1491.82 after 10 years at an interest rate of 4%?

    Explanation
    1491.82=Pe^(.04*10)
    1491.82=P(1.49182)
    P = 1000

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  • 9. 

    How much more acidic is a liquid that is given a pH number of 2 than a pH number of 4?

    Explanation
    The difference in the exponents is 2 - that is 10^2 difference in acidity.

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  • 10. 

    Where would the vertical asymptote of the graph y = log3(x - 4) be?

    Explanation
    shift 4 units right

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  • 11. 

    Explanation
    216 = 6^3, so the fourth root of 216 = 6^(3/4)

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