Illustrative Math - Algebra 2 - Unit 4 - Lesson 9 - Formative Library | Library

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 item		Category
10^{y}=2,000		0.602
10^{y}=900		-1
10^{y}=20		1
10^{t}=4		2.954
10^{y}=10		1.301

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.

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

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.

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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Illustrative Math - Algebra 2 - Unit 4 - Lesson 9

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.

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.

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

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.

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.