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

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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Meaning, Equation to Words as Question Mark (Fractions)

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What does the logarithm equation mean?

\log _{\frac{1}{6}} \frac{1}{36} = ?

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

Math worksheet on 'Logarithms - Meaning, Equation to Words as Question Mark (Fractions) (Level 1)'. Part of a broader unit on 'Logarithms - Intro' Learn online: app.mobius.academy/math/units/logarithms_intro/

$A LaTex expression showing \log sub 1 over 6 1 over 216 = ?$

What does the logarithm equation mean?

a $A LaTex expression showing \text{What number would you raise }\\1 over 216 \text{ by to result in }1 over 6 ?$

b $A LaTex expression showing \text{What number would you raise }\\1 over 6 \text{ by to result in }1 over 216 ?$

$A LaTex expression showing \log sub 1 over 9 1 over 81 = ?$

What does the logarithm equation mean?

a $A LaTex expression showing \text{What number would you raise }\\1 over 81 \text{ by to result in }1 over 9 ?$

b $A LaTex expression showing \text{What number would you raise }\\1 over 9 \text{ by to result in }1 over 81 ?$

$A LaTex expression showing \log sub 1 over 3 1 over 9 = ?$

What does the logarithm equation mean?

a $A LaTex expression showing \text{What number would you raise }\\1 over 3 \text{ by to result in }1 over 9 ?$

b $A LaTex expression showing \text{What number would you raise }\\1 over 9 \text{ by to result in }1 over 3 ?$

$A LaTex expression showing \log sub 1 over 10 1 over 1,000 = ?$

What does the logarithm equation mean?

a $A LaTex expression showing \text{What number would you raise }\\1 over 10 \text{ by to result in }1 over 1,000 ?$

b $A LaTex expression showing \text{What number would you raise }\\1 over 1,000 \text{ by to result in }1 over 10 ?$

$A LaTex expression showing \log sub 1 over 7 1 over 49 = ?$

What does the logarithm equation mean?

a $A LaTex expression showing \text{What number would you raise }\\1 over 7 \text{ by to result in }1 over 49 ?$

b $A LaTex expression showing \text{What number would you raise }\\1 over 49 \text{ by to result in }1 over 7 ?$

$A LaTex expression showing \log sub 1 over 5 1 over 125 = ?$

What does the logarithm equation mean?

a $A LaTex expression showing \text{What number would you raise }\\1 over 125 \text{ by to result in }1 over 5 ?$

b $A LaTex expression showing \text{What number would you raise }\\1 over 5 \text{ by to result in }1 over 125 ?$

$A LaTex expression showing \log sub 1 over 2 1 over 4 = ?$

What does the logarithm equation mean?

a $A LaTex expression showing \text{What number would you raise }\\1 over 2 \text{ by to result in }1 over 4 ?$

b $A LaTex expression showing \text{What number would you raise }\\1 over 4 \text{ by to result in }1 over 2 ?$

Practice:

Meaning, Equation to Words as Question Mark (Fractions)

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