Meaning, Words to Equation as Values (Perfect) (Level 1)

This topic covers the basic understanding and transformation of word descriptions into logarithmic expressions. It focuses on constructing the correct logarithm equations based on scenarios where specific values are achieved by raising a base number to a certain exponent. The exercises provide various setups where learners are required to find the correct logarithmic representation for given power relationships between numbers. This practice helps in deepening the understanding of logarithmic relationships and their real-world applications, serving as an introductory level to logarithms.

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Logarithms - Meaning, Words to Equation as Values (Perfect) Worksheet

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Math worksheet on 'Logarithms - Meaning, Words to Equation as Values (Perfect) (Level 1)'. Part of a broader unit on 'Logarithms - Intro' Learn online: app.mobius.academy/math/units/logarithms_intro/
1
To result in 16, you would raise 4 to the power of 2
Which logarithm equation shows this?
a A LaTex expression showing \log sub 4 16 = 2
b A LaTex expression showing \log sub 2 4 = 16
c A LaTex expression showing \log sub 16 4 = 2
2
To result in 27, you would raise 3 to the power of 3
Which logarithm equation shows this?
a A LaTex expression showing \log sub 3 27 = 3
b A LaTex expression showing \log sub 27 3 = 3
c A LaTex expression showing \log sub 3 3 = 27
3
To result in 64, you would raise 8 to the power of 2
Which logarithm equation shows this?
a A LaTex expression showing \log sub 2 8 = 64
b A LaTex expression showing \log sub 2 64 = 8
c A LaTex expression showing \log sub 8 64 = 2
d A LaTex expression showing \log sub 64 2 = 8
4
To result in 16, you would raise 2 to the power of 4
Which logarithm equation shows this?
a A LaTex expression showing \log sub 4 2 = 16
b A LaTex expression showing \log sub 2 16 = 4
c A LaTex expression showing \log sub 16 2 = 4
d A LaTex expression showing \log sub 16 4 = 2
5
To result in 49, you would raise 7 to the power of 2
Which logarithm equation shows this?
a A LaTex expression showing \log sub 49 7 = 2
b A LaTex expression showing \log sub 7 49 = 2
c A LaTex expression showing \log sub 2 49 = 7
6
To result in 36, you would raise 6 to the power of 2
Which logarithm equation shows this?
a A LaTex expression showing \log sub 6 36 = 2
b A LaTex expression showing \log sub 2 6 = 36
c A LaTex expression showing \log sub 36 2 = 6
d A LaTex expression showing \log sub 36 6 = 2
7
To result in 8, you would raise 2 to the power of 3
Which logarithm equation shows this?
a A LaTex expression showing \log sub 8 2 = 3
b A LaTex expression showing \log sub 8 3 = 2
c A LaTex expression showing \log sub 3 2 = 8
d A LaTex expression showing \log sub 2 8 = 3