Logarithms - Power Property - To Product (Level 1) - Mobius Math Academy

Power Property - To Product (Level 1)

This math topic focuses on practicing the power property of logarithms, which involves converting logarithmic expressions into their equivalent forms using the power property. The problems require students to rewrite logarithms by manipulating the exponent and base, and provide multiple answer choices for each question.

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

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Logarithms - Power Property - To Product Worksheet

Logarithms - Power Property - To Product

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

$A LaTex expression showing \log sub 9 81$

a $A LaTex expression showing 9\log sub 4 3$

b $A LaTex expression showing 4\log sub 3 9$

c $A LaTex expression showing 4\log sub 9 3$

d $A LaTex expression showing 3\log sub 9 4$

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

$A LaTex expression showing \log sub 7 121$

a $A LaTex expression showing 7\log sub 2 11$

b $A LaTex expression showing 11\log sub 7 2$

c $A LaTex expression showing 2\log sub 7 11$

d $A LaTex expression showing 7\log sub 11 2$

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

$A LaTex expression showing \log sub 4 100$

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

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

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

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

$A LaTex expression showing \log sub 6 36$

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

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

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

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

$A LaTex expression showing \log sub 3 16$

a $A LaTex expression showing 2\log sub 3 4$

b $A LaTex expression showing 3\log sub 4 2$

c $A LaTex expression showing 4\log sub 3 2$

d $A LaTex expression showing 3\log sub 2 4$

e $A LaTex expression showing 2\log sub 4 3$

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

$A LaTex expression showing \log sub 5 16$

a $A LaTex expression showing 5\log sub 2 4$

b $A LaTex expression showing 2\log sub 5 4$

c $A LaTex expression showing 4\log sub 5 2$

d $A LaTex expression showing 2\log sub 4 5$

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

$A LaTex expression showing \log sub 7 125$

a $A LaTex expression showing 3\log sub 7 5$

b $A LaTex expression showing 3\log sub 5 7$

c $A LaTex expression showing 5\log sub 7 3$

d $A LaTex expression showing 7\log sub 3 5$

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

$A LaTex expression showing \log sub 4 81$

a $A LaTex expression showing 2\log sub 9 4$

b $A LaTex expression showing 4\log sub 2 9$

c $A LaTex expression showing 4\log sub 9 2$

d $A LaTex expression showing 2\log sub 4 9$

e $A LaTex expression showing 9\log sub 4 2$