Logarithms

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

This math topic focuses on practicing the power property of logarithms, specifically converting a logarithmic expression involving an exponent into a product form. Students have to apply the logarithmic identity where the exponent on the argument of a logarithm can be moved to the front as a coefficient, effectively transforming power to product. Each problem presents a logarithmic expression with an exponent, and the student's task is to rewrite the expression using this power property of logarithms, choosing the correct transformed expression from multiple choices provided.

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 (Exponents) Worksheet

Logarithms - Power Property - Power To Product (Exponents)

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

$A LaTex expression showing \log sub 4 7 to the power of 2$

a $A LaTex expression showing 7\log sub 4 2$

b $A LaTex expression showing 2\log sub 7 4$

c $A LaTex expression showing 4\log sub 2 7$

d $A LaTex expression showing 4\log sub 7 2$

e $A LaTex expression showing 2\log sub 4 7$

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

$A LaTex expression showing \log sub 10 12 to the power of 2$

a $A LaTex expression showing 10\log sub 2 12$

b $A LaTex expression showing 12\log sub 10 2$

c $A LaTex expression showing 2\log sub 10 12$

d $A LaTex expression showing 10\log sub 12 2$

e $A LaTex expression showing 2\log sub 12 10$

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

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

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

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

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

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

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

$A LaTex expression showing \log sub 9 3 to the power of 4$

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

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

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

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

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

$A LaTex expression showing \log sub 6 4 to the power of 2$

a $A LaTex expression showing 2\log sub 6 4$

b $A LaTex expression showing 2\log sub 4 6$

c $A LaTex expression showing 6\log sub 4 2$

d $A LaTex expression showing 6\log sub 2 4$

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

$A LaTex expression showing \log sub 9 7 to the power of 2$

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

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

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

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

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

$A LaTex expression showing \log sub 6 10 to the power of 2$

a $A LaTex expression showing 2\log sub 6 10$

b $A LaTex expression showing 10\log sub 6 2$

c $A LaTex expression showing 6\log sub 10 2$

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

$A LaTex expression showing \log sub 5 6 to the power of 3$

a $A LaTex expression showing 6\log sub 5 3$

b $A LaTex expression showing 5\log sub 3 6$

c $A LaTex expression showing 3\log sub 6 5$

d $A LaTex expression showing 3\log sub 5 6$

e $A LaTex expression showing 5\log sub 6 3$