Alg 2 Quiz 4.1

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  • 1/25 Questions
    Write the given logarithmic equation in exponential form. - ProProfs

    Write the given logarithmic equation in exponential form.

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About This Quiz

Alg 2 Quiz 4.1 assesses understanding of logarithmic and exponential forms. It includes transforming equations, condensing expressions, and solving real-world depreciation problems, enhancing skills in algebraic manipulations and practical applications.

Alg 2 Quiz 4.1 - Quiz

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  • 2. 
    23.  Write the given logarithmic equation in exponential form. - ProProfs

    23.  Write the given logarithmic equation in exponential form.

    Correct Answer
    A.
  • 3. 
    Write  in logarithmic form - ProProfs

    Write  in logarithmic form

    Correct Answer
    A.
  • 4. 
    Write the given exponential equation in logarithmic form. - ProProfs

    Write the given exponential equation in logarithmic form.

    Correct Answer
    A.
  • 5. 
    Write the given logarithmic equation in exponential form. - ProProfs

    Write the given logarithmic equation in exponential form.

    Correct Answer
    A.
    Explanation
    The given logarithmic equation can be written in exponential form as follows: base^exponent = result.

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  • 6. 
    Write the given exponential equation in logarithmic form. - ProProfs

    Write the given exponential equation in logarithmic form.

    Correct Answer
    A.
  • 7. 
    Write the given logarithmic equation in exponential form. - ProProfs

    Write the given logarithmic equation in exponential form.

    • Alg 2 Quiz 4.1 - Quiz

    • Alg 2 Quiz 4.1 - Quiz

    • Alg 2 Quiz 4.1 - Quiz

    • Correct exponential form is not here

    Correct Answer
    A.
  • 8. 
    Which ordered pair lies on the graph ? - ProProfs

    Which ordered pair lies on the graph ?

    Correct Answer
    A.
  • 9. 
    Rewrite the given logarithmic expression as a single logarithm. - ProProfs

    Rewrite the given logarithmic expression as a single logarithm.

    Correct Answer
    A.
  • 10. 
    Write the given exponential equation in logarithmic form. - ProProfs

    Write the given exponential equation in logarithmic form.

    Correct Answer
    A.
  • 11. 

    Which function represents exponential decay?

    • Alg 2 Quiz 4.1 - Quiz

    • Alg 2 Quiz 4.1 - Quiz

    • Alg 2 Quiz 4.1 - Quiz

    • Alg 2 Quiz 4.1 - Quiz

    • None of these is exponential decay

    Correct Answer
    A.
    Explanation
    Exponential decay is a mathematical function that describes a process in which a quantity decreases exponentially over time. In this case, the given answer states that none of the functions represent exponential decay. This suggests that there are no options provided that accurately represent the behavior of exponential decay.

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  • 12. 
    Rewrite the exponential equation in logarithmic form. - ProProfs

    Rewrite the exponential equation in logarithmic form.

    • Alg 2 Quiz 4.1 - Quiz

    • Alg 2 Quiz 4.1 - Quiz

    • Alg 2 Quiz 4.1 - Quiz

    • Correct form is not here

    Correct Answer
    A.
  • 13. 
    Condense the given logarithmic expression into a single logarithm. - ProProfs

    Condense the given logarithmic expression into a single logarithm.

    • Alg 2 Quiz 4.1 - Quiz

    • Alg 2 Quiz 4.1 - Quiz

    • Alg 2 Quiz 4.1 - Quiz

    • Correct form is not here

    Correct Answer
    A.
  • 14. 
    Tony purchased a rare 1959 Gibson Les Paul guitar in 2000 for $12,000.  Experts estimate that its value will increase by 12% per year.  After how many years will the value have increased to $40,000?  Use . - ProProfs

    Tony purchased a rare 1959 Gibson Les Paul guitar in 2000 for $12,000.  Experts estimate that its value will increase by 12% per year.  After how many years will the value have increased to $40,000?  Use .

    Correct Answer
    A.
    Explanation
    The value of the guitar increases by 12% each year, which means it grows by 0.12 times its previous value. To find the number of years it takes for the value to reach $40,000, we can set up the equation: $12,000 * (1 + 0.12)^n = $40,000. Solving for n, we find that it will take approximately 11.5 years for the value to increase to $40,000.

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  • 15. 

    Which function represents exponential growth?

    • Alg 2 Quiz 4.1 - Quiz

    • Alg 2 Quiz 4.1 - Quiz

    • Alg 2 Quiz 4.1 - Quiz

    • Alg 2 Quiz 4.1 - Quiz

    • None of these is exponential growth

    Correct Answer
    A. None of these is exponential growth
  • 16. 
    Rewrite the logarithmic expression as a single logarithm. - ProProfs

    Rewrite the logarithmic expression as a single logarithm.

    • Alg 2 Quiz 4.1 - Quiz

    • Alg 2 Quiz 4.1 - Quiz

    • Alg 2 Quiz 4.1 - Quiz

    • Correct form is not here

    Correct Answer
    A.
  • 17. 
    The Allen Electric Company has a piece of machinery valued at $45,000.  It depreciates at 20% per year.  After how many years will the value have depreciated to $15,000?  Use . - ProProfs

    The Allen Electric Company has a piece of machinery valued at $45,000.  It depreciates at 20% per year.  After how many years will the value have depreciated to $15,000?  Use .

    Correct Answer
    A.
    Explanation
    The value of the machinery depreciates at a rate of 20% per year. To find out how many years it will take for the value to depreciate to $15,000, we can set up the equation: $45,000 - (20% * $45,000 * x) = $15,000, where x represents the number of years. Simplifying the equation, we get $45,000 - (0.2 * $45,000 * x) = $15,000. Further simplifying, we have $45,000 - $9,000x = $15,000. Solving for x, we find that it will take 3 years for the value to depreciate to $15,000.

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  • 18. 
    Tonya invests $5000 in an account that pays 5% interest per year.  After how many years will her investment be worth $8000?  Use . - ProProfs

    Tonya invests $5000 in an account that pays 5% interest per year.  After how many years will her investment be worth $8000?  Use .

    Correct Answer
    A.
  • 19. 
    The Allen Electric Company has a piece of machinery valued at $60,000.  It depreciates at 20% per year.  After how many years will the value have depreciated to $15,000?  Use . - ProProfs

    The Allen Electric Company has a piece of machinery valued at $60,000.  It depreciates at 20% per year.  After how many years will the value have depreciated to $15,000?  Use .

    Correct Answer
    A.
    Explanation
    The value of the machinery depreciates at a rate of 20% per year. This means that each year, the value decreases by 20% of its current value. To find out how many years it will take for the value to depreciate to $15,000, we can set up an equation. Let "x" represent the number of years. The equation would be: $60,000 - (20% * $60,000 * x) = $15,000. By solving this equation, we can find the value of "x" which represents the number of years it will take for the machinery to depreciate to $15,000.

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  • 20. 
    Express as a single logarithm: - ProProfs

    Express as a single logarithm:

    Correct Answer
    A.
  • 21. 
    Using the properties of logs, write in expanded form: - ProProfs

    Using the properties of logs, write in expanded form:

    Correct Answer
    A.
  • 22. 
    Using the properties of logs, write in expanded form: - ProProfs

    Using the properties of logs, write in expanded form:

    • Alg 2 Quiz 4.1 - Quiz

    • Alg 2 Quiz 4.1 - Quiz

    • Alg 2 Quiz 4.1 - Quiz

    • Correct form is not here

    Correct Answer
    A.
  • 23. 
    If , then  is equivalent to: - ProProfs

    If , then  is equivalent to:

    Correct Answer
    A.
  • 24. 
    The expression  can be written as: - ProProfs

    The expression  can be written as:

    Correct Answer
    A.
  • 25. 
    The expression  can be written as the single logarithm: - ProProfs

    The expression  can be written as the single logarithm:

    Correct Answer
    A.

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Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Mar 19, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Nov 21, 2016
    Quiz Created by
    Albert Melchor
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