Logarithms

Power Property - Power To Product (Integers) (Level 1)

This math topic focuses on the logarithmic power property converting powers to products, specifically using integers. It involves manipulating logarithmic expressions based on their exponential forms. Students are given different logarithmic forms and have to apply the power property to transform these logarithms into their equivalent expressions, demonstrating comprehension of logarithmic rules and properties related to integers. This prepares them to handle more complex algebraic expressions involving logarithms and develop deeper understanding of logarithmic functions.

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

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Logarithms - Power Property - Power To Product (Integers) Worksheet

Logarithms - Power Property - Power To Product (Integers)

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

$A LaTex expression showing \log sub 8 16$

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

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

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

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

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

$A LaTex expression showing \log sub 7 81$

a $A LaTex expression showing 2\log sub 9 7$

b $A LaTex expression showing 7\log sub 2 9$

c $A LaTex expression showing 2\log sub 7 9$

d $A LaTex expression showing 7\log sub 9 2$

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

$A LaTex expression showing \log sub 10 49$

a $A LaTex expression showing 2\log sub 7 10$

b $A LaTex expression showing 10\log sub 2 7$

c $A LaTex expression showing 2\log sub 10 7$

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

$A LaTex expression showing \log sub 5 64$

a $A LaTex expression showing 3\log sub 4 5$

b $A LaTex expression showing 3\log sub 5 4$

c $A LaTex expression showing 4\log sub 5 3$

d $A LaTex expression showing 5\log sub 3 4$

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

$A LaTex expression showing \log sub 8 36$

a $A LaTex expression showing 2\log sub 8 6$

b $A LaTex expression showing 8\log sub 2 6$

c $A LaTex expression showing 8\log sub 6 2$

d $A LaTex expression showing 6\log sub 8 2$

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

$A LaTex expression showing \log sub 8 49$

a $A LaTex expression showing 7\log sub 8 2$

b $A LaTex expression showing 2\log sub 8 7$

c $A LaTex expression showing 8\log sub 2 7$

d $A LaTex expression showing 8\log sub 7 2$

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

$A LaTex expression showing \log sub 10 125$

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

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

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

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

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

$A LaTex expression showing \log sub 5 8$

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

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

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

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