Logarithms - Meaning, Words to Equation as Values (Perfect) (Level 1) - Mobius Math Academy

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.

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 Values (Perfect) Worksheet

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

To result in 25, you would raise 5 to the power of 2

Which logarithm equation shows this?

a $A LaTex expression showing \log sub 5 25 = 2$

b $A LaTex expression showing \log sub 2 5 = 25$

c $A LaTex expression showing \log sub 2 25 = 5$

d $A LaTex expression showing \log sub 25 2 = 5$

To result in 9, you would raise 3 to the power of 2

Which logarithm equation shows this?

a $A LaTex expression showing \log sub 9 2 = 3$

b $A LaTex expression showing \log sub 3 9 = 2$

c $A LaTex expression showing \log sub 9 3 = 2$

d $A LaTex expression showing \log sub 2 3 = 9$

To result in 125, you would raise 5 to the power of 3

Which logarithm equation shows this?

a $A LaTex expression showing \log sub 3 125 = 5$

b $A LaTex expression showing \log sub 5 125 = 3$

c $A LaTex expression showing \log sub 125 3 = 5$

d $A LaTex expression showing \log sub 125 5 = 3$

To result in 27, you would raise 3 to the power of 3

Which logarithm equation shows this?

a $A LaTex expression showing \log sub 27 3 = 3$

b $A LaTex expression showing \log sub 3 3 = 27$

c $A LaTex expression showing \log sub 3 27 = 3$

To result in 8, you would raise 2 to the power of 3

Which logarithm equation shows this?

a $A LaTex expression showing \log sub 3 2 = 8$

b $A LaTex expression showing \log sub 8 2 = 3$

c $A LaTex expression showing \log sub 8 3 = 2$

d $A LaTex expression showing \log sub 2 8 = 3$

To result in 4, you would raise 2 to the power of 2

Which logarithm equation shows this?

a $A LaTex expression showing \log sub 2 2 = 4$

b $A LaTex expression showing \log sub 4 2 = 2$

c $A LaTex expression showing \log sub 2 4 = 2$

To result in 216, you would raise 6 to the power of 3

Which logarithm equation shows this?

a $A LaTex expression showing \log sub 216 3 = 6$

b $A LaTex expression showing \log sub 216 6 = 3$

c $A LaTex expression showing \log sub 6 216 = 3$

d $A LaTex expression showing \log sub 3 6 = 216$

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 $A LaTex expression showing \log sub 36 6 = 2$