Meaning, Words to Equation as Question Mark (Fractions) (Level 1)

This math topic focuses on the understanding and translation of word problems into logarithmic equations that involve fractions. The problems are designed to help learners recognize how to set up logarithms when trying to find the exponent that raises one fraction to another to achieve a given result. Each question provides a scenario which learners must interpret and translate into the appropriate logarithmic form, with multiple choices provided to facilitate concept graspr. This involves identifying the base and the exponent in logarithmic functions, which are expressed as fractions.

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 Question Mark (Fractions) Worksheet

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Logarithms - Meaning, Words to Equation as Question Mark (Fractions)
1
Which logarithm equation answers this?
A LaTex expression showing \text{What number would you raise }\\1 over 3 \text{ by to result in }1 over 81 ?
a A LaTex expression showing \log sub 1 over 81 ? = 1 over 3
b A LaTex expression showing \log sub 1 over 81 1 over 3 = ?
c A LaTex expression showing \log sub ? 1 over 81 = 1 over 3
d A LaTex expression showing \log sub 1 over 3 1 over 81 = ?
2
Which logarithm equation answers this?
A LaTex expression showing \text{What number would you raise }\\1 over 5 \text{ by to result in }1 over 25 ?
a A LaTex expression showing \log sub ? 1 over 5 = 1 over 25
b A LaTex expression showing \log sub ? 1 over 25 = 1 over 5
c A LaTex expression showing \log sub 1 over 5 1 over 25 = ?
d A LaTex expression showing \log sub 1 over 25 ? = 1 over 5
3
Which logarithm equation answers this?
A LaTex expression showing \text{What number would you raise }\\1 over 2 \text{ by to result in }1 over 8 ?
a A LaTex expression showing \log sub 1 over 8 ? = 1 over 2
b A LaTex expression showing \log sub ? 1 over 2 = 1 over 8
c A LaTex expression showing \log sub 1 over 2 1 over 8 = ?
d A LaTex expression showing \log sub ? 1 over 8 = 1 over 2
4
Which logarithm equation answers this?
A LaTex expression showing \text{What number would you raise }\\1 over 4 \text{ by to result in }1 over 64 ?
a A LaTex expression showing \log sub 1 over 64 1 over 4 = ?
b A LaTex expression showing \log sub ? 1 over 4 = 1 over 64
c A LaTex expression showing \log sub ? 1 over 64 = 1 over 4
d A LaTex expression showing \log sub 1 over 64 ? = 1 over 4
e A LaTex expression showing \log sub 1 over 4 1 over 64 = ?
5
Which logarithm equation answers this?
A LaTex expression showing \text{What number would you raise }\\1 over 4 \text{ by to result in }1 over 16 ?
a A LaTex expression showing \log sub 1 over 16 ? = 1 over 4
b A LaTex expression showing \log sub ? 1 over 16 = 1 over 4
c A LaTex expression showing \log sub ? 1 over 4 = 1 over 16
d A LaTex expression showing \log sub 1 over 4 1 over 16 = ?
6
Which logarithm equation answers this?
A LaTex expression showing \text{What number would you raise }\\1 over 6 \text{ by to result in }1 over 216 ?
a A LaTex expression showing \log sub 1 over 6 1 over 216 = ?
b A LaTex expression showing \log sub 1 over 216 1 over 6 = ?
c A LaTex expression showing \log sub 1 over 216 ? = 1 over 6
d A LaTex expression showing \log sub ? 1 over 6 = 1 over 216
7
Which logarithm equation answers this?
A LaTex expression showing \text{What number would you raise }\\1 over 2 \text{ by to result in }1 over 4 ?
a A LaTex expression showing \log sub ? 1 over 2 = 1 over 4
b A LaTex expression showing \log sub 1 over 2 1 over 4 = ?
c A LaTex expression showing \log sub 1 over 4 1 over 2 = ?
d A LaTex expression showing \log sub ? 1 over 4 = 1 over 2
8
Which logarithm equation answers this?
A LaTex expression showing \text{What number would you raise }\\1 over 5 \text{ by to result in }1 over 125 ?
a A LaTex expression showing \log sub 1 over 125 ? = 1 over 5
b A LaTex expression showing \log sub ? 1 over 5 = 1 over 125
c A LaTex expression showing \log sub ? 1 over 125 = 1 over 5
d A LaTex expression showing \log sub 1 over 5 1 over 125 = ?