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

This topic focuses on understanding the meaning of logarithmic equations involving fractions. It helps students interpret logarithms as operations identifying the exponent needed to express one fraction as a power of another. Each problem presents a logarithm equation with a base and a result (both fractions), asking what number the base should be raised to in order to equal the result. The skills practiced include basic comprehension of logarithms and manipulating fractional bases and results within logarithmic contexts.

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

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Logarithms - Meaning, Equation to Words as Question Mark (Fractions) Worksheet

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Logarithms - Meaning, Equation to Words as Question Mark (Fractions)
1
A LaTex expression showing \log sub 1 over 5 1 over 25 = ?
What does the logarithm equation mean?
a A LaTex expression showing \text{What number would you raise }\\1 over 25 \text{ by to result in }1 over 5 ?
b A LaTex expression showing \text{What number would you raise }\\1 over 5 \text{ by to result in }1 over 25 ?
2
A LaTex expression showing \log sub 1 over 9 1 over 81 = ?
What does the logarithm equation mean?
a A LaTex expression showing \text{What number would you raise }\\1 over 9 \text{ by to result in }1 over 81 ?
b A LaTex expression showing \text{What number would you raise }\\1 over 81 \text{ by to result in }1 over 9 ?
3
A LaTex expression showing \log sub 1 over 2 1 over 16 = ?
What does the logarithm equation mean?
a A LaTex expression showing \text{What number would you raise }\\1 over 16 \text{ by to result in }1 over 2 ?
b A LaTex expression showing \text{What number would you raise }\\1 over 2 \text{ by to result in }1 over 16 ?
4
A LaTex expression showing \log sub 1 over 4 1 over 16 = ?
What does the logarithm equation mean?
a A LaTex expression showing \text{What number would you raise }\\1 over 4 \text{ by to result in }1 over 16 ?
b A LaTex expression showing \text{What number would you raise }\\1 over 16 \text{ by to result in }1 over 4 ?
5
A LaTex expression showing \log sub 1 over 4 1 over 64 = ?
What does the logarithm equation mean?
a A LaTex expression showing \text{What number would you raise }\\1 over 64 \text{ by to result in }1 over 4 ?
b A LaTex expression showing \text{What number would you raise }\\1 over 4 \text{ by to result in }1 over 64 ?
6
A LaTex expression showing \log sub 1 over 6 1 over 216 = ?
What does the logarithm equation mean?
a A LaTex expression showing \text{What number would you raise }\\1 over 6 \text{ by to result in }1 over 216 ?
b A LaTex expression showing \text{What number would you raise }\\1 over 216 \text{ by to result in }1 over 6 ?
7
A LaTex expression showing \log sub 1 over 2 1 over 4 = ?
What does the logarithm equation mean?
a A LaTex expression showing \text{What number would you raise }\\1 over 4 \text{ by to result in }1 over 2 ?
b A LaTex expression showing \text{What number would you raise }\\1 over 2 \text{ by to result in }1 over 4 ?
8
A LaTex expression showing \log sub 1 over 3 1 over 27 = ?
What does the logarithm equation mean?
a A LaTex expression showing \text{What number would you raise }\\1 over 3 \text{ by to result in }1 over 27 ?
b A LaTex expression showing \text{What number would you raise }\\1 over 27 \text{ by to result in }1 over 3 ?