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

This math topic focuses on understanding and practicing logarithms. Specifically, it involves converting word problems concerning exponential relationships into logarithmic equations. Each problem asks the learner to identify the logarithmic equation that correctly represents a given base and its exponent result. The problems progress by increasing the numerical bases and their corresponding powers, teaching how to setup the appropriate logarithmic statement. The overarching goal is to solidify comprehension of the fundamental concepts of logarithms, such as translating between exponential and logarithmic forms.

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 (Perfect) Worksheet

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Logarithms - Meaning, Words to Equation as Question Mark (Perfect)
1
What number would you raise 2 by to result in 16?
Which logarithm equation answers this?
a A LaTex expression showing \log sub ? 16 = 2
b A LaTex expression showing \log sub ? 2 = 16
c A LaTex expression showing \log sub 16 ? = 2
d A LaTex expression showing \log sub 2 16 = ?
2
What number would you raise 9 by to result in 81?
Which logarithm equation answers this?
a A LaTex expression showing \log sub ? 81 = 9
b A LaTex expression showing \log sub 9 81 = ?
c A LaTex expression showing \log sub ? 9 = 81
d A LaTex expression showing \log sub 81 ? = 9
e A LaTex expression showing \log sub 81 9 = ?
3
What number would you raise 5 by to result in 25?
Which logarithm equation answers this?
a A LaTex expression showing \log sub ? 5 = 25
b A LaTex expression showing \log sub 5 25 = ?
c A LaTex expression showing \log sub 25 ? = 5
d A LaTex expression showing \log sub ? 25 = 5
4
What number would you raise 3 by to result in 27?
Which logarithm equation answers this?
a A LaTex expression showing \log sub 27 ? = 3
b A LaTex expression showing \log sub ? 3 = 27
c A LaTex expression showing \log sub 27 3 = ?
d A LaTex expression showing \log sub 3 27 = ?
5
What number would you raise 4 by to result in 64?
Which logarithm equation answers this?
a A LaTex expression showing \log sub 64 ? = 4
b A LaTex expression showing \log sub 4 64 = ?
c A LaTex expression showing \log sub ? 4 = 64
d A LaTex expression showing \log sub ? 64 = 4
6
What number would you raise 4 by to result in 16?
Which logarithm equation answers this?
a A LaTex expression showing \log sub ? 4 = 16
b A LaTex expression showing \log sub 4 16 = ?
c A LaTex expression showing \log sub 16 4 = ?
d A LaTex expression showing \log sub 16 ? = 4
7
What number would you raise 8 by to result in 64?
Which logarithm equation answers this?
a A LaTex expression showing \log sub 8 64 = ?
b A LaTex expression showing \log sub ? 64 = 8
c A LaTex expression showing \log sub 64 8 = ?
d A LaTex expression showing \log sub 64 ? = 8
8
What number would you raise 3 by to result in 9?
Which logarithm equation answers this?
a A LaTex expression showing \log sub 9 3 = ?
b A LaTex expression showing \log sub ? 9 = 3
c A LaTex expression showing \log sub 3 9 = ?
d A LaTex expression showing \log sub 9 ? = 3