Logarithms - Meaning, Words to Equation as Values (Decimals) (Level 1) - Mobius Math Academy

Meaning, Words to Equation as Values (Decimals) (Level 1)

This math topic focuses on understanding and practicing the concept of logarithms, specifically translating word problems into logarithmic equations that involve decimal values. Each problem presents a scenario where a number is raised to a specific power, and the student is asked to identify the correct logarithmic equation representation of that scenario. The equations vary, testing the student's understanding of logarithm bases and their results, enhancing their skills in recognizing and setting up logarithmic equations from verbal descriptions.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Logarithms - Meaning, Words to Equation as Values (Decimals) Worksheet

Logarithms - Meaning, Words to Equation as Values (Decimals)

To result in 202, you would raise 2 to the power of 8

Which logarithm equation shows this?

a $A LaTex expression showing \log sub 7.66 2 = 202$

b $A LaTex expression showing \log sub 2 202 = 7.66$

c $A LaTex expression showing \log sub 202 2 = 7.66$

d $A LaTex expression showing \log sub 202 7.66 = 2$

To result in 369, you would raise 3 to the power of 5

Which logarithm equation shows this?

a $A LaTex expression showing \log sub 5.38 369 = 3$

b $A LaTex expression showing \log sub 369 3 = 5.38$

c $A LaTex expression showing \log sub 3 369 = 5.38$

d $A LaTex expression showing \log sub 5.38 3 = 369$

To result in 175, you would raise 6 to the power of 3

Which logarithm equation shows this?

a $A LaTex expression showing \log sub 2.88 175 = 6$

b $A LaTex expression showing \log sub 175 2.88 = 6$

c $A LaTex expression showing \log sub 6 175 = 2.88$

To result in 237, you would raise 5 to the power of 3

Which logarithm equation shows this?

a $A LaTex expression showing \log sub 5 237 = 3.4$

b $A LaTex expression showing \log sub 3.4 237 = 5$

c $A LaTex expression showing \log sub 237 3.4 = 5$

To result in 481, you would raise 10 to the power of 3

Which logarithm equation shows this?

a $A LaTex expression showing \log sub 10 481 = 2.68$

b $A LaTex expression showing \log sub 2.68 10 = 481$

c $A LaTex expression showing \log sub 481 10 = 2.68$

d $A LaTex expression showing \log sub 2.68 481 = 10$

To result in 187, you would raise 10 to the power of 2

Which logarithm equation shows this?

a $A LaTex expression showing \log sub 187 10 = 2.27$

b $A LaTex expression showing \log sub 10 187 = 2.27$

c $A LaTex expression showing \log sub 2.27 187 = 10$

To result in 447, you would raise 9 to the power of 3

Which logarithm equation shows this?

a $A LaTex expression showing \log sub 9 447 = 2.78$

b $A LaTex expression showing \log sub 2.78 9 = 447$

c $A LaTex expression showing \log sub 2.78 447 = 9$

d $A LaTex expression showing \log sub 447 9 = 2.78$

To result in 243, you would raise 6 to the power of 3

Which logarithm equation shows this?

a $A LaTex expression showing \log sub 243 3.07 = 6$

b $A LaTex expression showing \log sub 6 243 = 3.07$

c $A LaTex expression showing \log sub 3.07 6 = 243$

d $A LaTex expression showing \log sub 3.07 243 = 6$