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Illustrative Math - Algebra 2 - Unit 4 - Lesson 9

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1.

For each equation in the left column, find in the right column an exact or approximate value for the unknown exponent so that the equation is true.

Draggable itemarrow_right_altCorresponding Item

10^{y}=2,000

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0.602

10^{y}=900

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-1

10^{t}=4

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1

10^{y}=10

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2.954

10^{y}=20

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1.301

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The base 10 log table shows that the value of \log_{10} 50 is about 1.69897. Explain or show why it makes sense that the value is between 1 and 2.

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What is the value of log_{10}(1,000,000,000)? Explain how you know.

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A bank account balance, in dollars, is modeled by the equation f(t)=1,000*(1.08)^{t}, where t is time measured in years.

About how many years will it take for the account balance to double? Explain or show how you know.

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This lesson is from Illustrative Mathematics. Algebra 2, Unit 4, Lesson 9. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/4/9/index.html ; accessed 27/July/2021.

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