Logarithms

Power Property - Product to Power (Exponents) (Level 1)

This math topic focuses on practicing the logarithm power property, specifically converting logarithmic expressions using the product-to-power rule (exponents). It involves understanding how to manipulate logarithmic expressions by applying the power rule to simplify or rearrange expressions for clearer comprehension and usage. The problems are set at Level 1, implying an introductory or basic difficulty level in the broader content area of logarithm functions.

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

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Logarithms - Power Property - Product to Power (Exponents) Worksheet

Logarithms - Power Property - Product to Power (Exponents)

Convert the given logarithm to its equivalent based on the power property

$A LaTex expression showing 2\log sub 5 7$

a $A LaTex expression showing \log sub 7 5 to the power of 2$

b $A LaTex expression showing \log sub 5 2 to the power of 7$

c $A LaTex expression showing \log sub 5 7 to the power of 2$

Convert the given logarithm to its equivalent based on the power property

$A LaTex expression showing 2\log sub 8 10$

a $A LaTex expression showing \log sub 8 10 to the power of 2$

b $A LaTex expression showing \log sub 10 8 to the power of 2$

c $A LaTex expression showing \log sub 8 2 to the power of 10$

Convert the given logarithm to its equivalent based on the power property

$A LaTex expression showing 2\log sub 4 8$

a $A LaTex expression showing \log sub 4 8 to the power of 2$

b $A LaTex expression showing \log sub 8 4 to the power of 2$

c $A LaTex expression showing \log sub 4 2 to the power of 8$

Convert the given logarithm to its equivalent based on the power property

$A LaTex expression showing 2\log sub 5 12$

a $A LaTex expression showing \log sub 5 2 to the power of 12$

b $A LaTex expression showing \log sub 5 12 to the power of 2$

c $A LaTex expression showing \log sub 12 5 to the power of 2$

Convert the given logarithm to its equivalent based on the power property

$A LaTex expression showing 3\log sub 10 5$

a $A LaTex expression showing \log sub 5 10 to the power of 3$

b $A LaTex expression showing \log sub 10 5 to the power of 3$

c $A LaTex expression showing \log sub 10 3 to the power of 5$

Convert the given logarithm to its equivalent based on the power property

$A LaTex expression showing 4\log sub 10 2$

a $A LaTex expression showing \log sub 10 2 to the power of 4$

b $A LaTex expression showing \log sub 2 10 to the power of 4$

c $A LaTex expression showing \log sub 10 4 to the power of 2$

Convert the given logarithm to its equivalent based on the power property

$A LaTex expression showing 2\log sub 6 11$

a $A LaTex expression showing \log sub 6 2 to the power of 11$

b $A LaTex expression showing \log sub 6 11 to the power of 2$

c $A LaTex expression showing \log sub 11 6 to the power of 2$

Convert the given logarithm to its equivalent based on the power property

$A LaTex expression showing 2\log sub 5 3$

a $A LaTex expression showing \log sub 3 5 to the power of 2$

b $A LaTex expression showing \log sub 5 2 to the power of 3$

c $A LaTex expression showing \log sub 5 3 to the power of 2$