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

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Math worksheet on 'Logarithms - Meaning, Words to Equation as Values (Decimals) (Level 1)'. Part of a broader unit on 'Logarithms - Intro' Learn online: app.mobius.academy/math/units/logarithms_intro/
1
To result in 431, you would raise 10 to the power of 3
Which logarithm equation shows this?
a A LaTex expression showing \log sub 2.63 10 = 431
b A LaTex expression showing \log sub 10 431 = 2.63
c A LaTex expression showing \log sub 431 10 = 2.63
2
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 2.68 481 = 10
b A LaTex expression showing \log sub 2.68 10 = 481
c A LaTex expression showing \log sub 10 481 = 2.68
d A LaTex expression showing \log sub 481 10 = 2.68
3
To result in 448, you would raise 4 to the power of 4
Which logarithm equation shows this?
a A LaTex expression showing \log sub 4 448 = 4.4
b A LaTex expression showing \log sub 4.4 4 = 448
c A LaTex expression showing \log sub 448 4 = 4.4
d A LaTex expression showing \log sub 448 4.4 = 4
4
To result in 370, you would raise 3 to the power of 5
Which logarithm equation shows this?
a A LaTex expression showing \log sub 370 3 = 5.38
b A LaTex expression showing \log sub 3 370 = 5.38
c A LaTex expression showing \log sub 5.38 370 = 3
d A LaTex expression showing \log sub 5.38 3 = 370
e A LaTex expression showing \log sub 370 5.38 = 3
5
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 6 175 = 2.88
b A LaTex expression showing \log sub 175 2.88 = 6
c A LaTex expression showing \log sub 2.88 175 = 6
6
To result in 459, you would raise 9 to the power of 3
Which logarithm equation shows this?
a A LaTex expression showing \log sub 459 9 = 2.79
b A LaTex expression showing \log sub 9 459 = 2.79
c A LaTex expression showing \log sub 459 2.79 = 9
d A LaTex expression showing \log sub 2.79 459 = 9
e A LaTex expression showing \log sub 2.79 9 = 459
7
To result in 139, you would raise 10 to the power of 2
Which logarithm equation shows this?
a A LaTex expression showing \log sub 2.14 10 = 139
b A LaTex expression showing \log sub 2.14 139 = 10
c A LaTex expression showing \log sub 10 139 = 2.14
d A LaTex expression showing \log sub 139 10 = 2.14