Exponential Models Quiz

Convert the exponential equation $2^x = 32$ into its logarithmic form.

• $\log_2 32 = x$

• $\log_{32} 2 = x$

• $x = \log_{32} 2$

• $x = \log_2 32$

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DOK Level 1: Recall

What is the logarithmic form of the equation $10^3 = 1000$?

• $\log_{10} 1000 = 3$

• $\log_{1000} 10 = 3$

• $\log_{10} 3 = 1000$

• $\log_{1000} 3 = 10$

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DOK Level 1: Recall

If the population of a city is increasing exponentially and triples every 10 years, what is the population after 30 years if the initial population was 2000?

• 6000

• 12000

• 18000

• 54000

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DOK Level 1: Recall

Convert the exponential equation $e^x = 7$ into its logarithmic form.

• $\log_e 7 = x$

• $\log_7 e = x$

• $x = \log_7 e$

• $x = \log_e 7$

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DOK Level 1: Recall

Graph the exponential function $y = 3^x$. Which of the following statements is true about the graph?

• The graph is decreasing.

• The graph passes through the point (0,1).

• The graph has an asymptote at $y = 1$.

• The graph intersects the y-axis at $y = 0$.

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DOK Level 1: Recall

What is the exponential form of the equation $\log_5 125 = 3$?

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DOK Level 1: Recall

A certain radioactive substance decays at a rate of 10% per year. If you start with 200 grams, how much will remain after 10 years?

• 80 grams

• 120 grams

• 102 grams

• 50 grams

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DOK Level 1: Recall

What is the logarithmic form of the equation $5^2 = 25$?

• $\log_5 25 = 2$

• $\log_2 25 = 5$

• $\log_5 2 = 25$

• $\log_{25} 5 = 2$

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DOK Level 1: Recall

If a culture of bacteria doubles every 2 hours, how many bacteria will there be after 8 hours if the initial count was 500?

• 2000

• 4000

• 8000

• 16000

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DOK Level 1: Recall

Convert the exponential equation $10^x = 10000$ into its logarithmic form.

• $\log_{10} 10000 = x$

• $\log_{10000} 10 = x$

• $x = \log_{10000} 10$

• $x = \log_{10} 10000$

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DOK Level 1: Recall