Logarithms

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

This math topic focuses on the power property of logarithms, specifically dealing with "Product to Power" involving integers. As part of the broader unit on logarithm functions, it involves converting given logarithmic expressions based on the power property. The problems challenge the learner to apply the logarithmic power rule correctly to rewrite expressions, helping solidify their understanding of how powers and logarithms interact. Each problem presents a logarithmic expression with an integer coefficient, requiring conversion to its exponential equivalent, and offers multiple choice answers.

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

more

Worksheet ViewUnit

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

Logarithms - Power Property - Product to Power (Integers)

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

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

a $A LaTex expression showing \log sub 10 15$

b $A LaTex expression showing \log sub 10 17$

c $A LaTex expression showing \log sub 16 10$

d $A LaTex expression showing \log sub 10 16$

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

$A LaTex expression showing 2\log sub 8 12$

a $A LaTex expression showing \log sub 6 144$

b $A LaTex expression showing \log sub 8 145$

c $A LaTex expression showing \log sub 8 142$

d $A LaTex expression showing \log sub 8 143$

e $A LaTex expression showing \log sub 8 144$

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

$A LaTex expression showing 2\log sub 8 11$

a $A LaTex expression showing \log sub 7 121$

b $A LaTex expression showing \log sub 8 120$

c $A LaTex expression showing \log sub 8 121$

d $A LaTex expression showing \log sub 121 8$

e $A LaTex expression showing \log sub 9 121$

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

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

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

b $A LaTex expression showing \log sub 11 9$

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

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

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

$A LaTex expression showing 2\log sub 6 9$

a $A LaTex expression showing \log sub 6 83$

b $A LaTex expression showing \log sub 7 81$

c $A LaTex expression showing \log sub 6 81$

d $A LaTex expression showing \log sub 6 82$

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

$A LaTex expression showing 2\log sub 4 12$

a $A LaTex expression showing \log sub 4 144$

b $A LaTex expression showing \log sub 6 144$

c $A LaTex expression showing \log sub 4 142$

d $A LaTex expression showing \log sub 144 4$

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

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

a $A LaTex expression showing \log sub 9 16$

b $A LaTex expression showing \log sub 10 16$

c $A LaTex expression showing \log sub 16 9$

d $A LaTex expression showing \log sub 9 17$

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

$A LaTex expression showing 2\log sub 5 8$

a $A LaTex expression showing \log sub 5 65$

b $A LaTex expression showing \log sub 64 5$

c $A LaTex expression showing \log sub 5 64$

d $A LaTex expression showing \log sub 5 62$

e $A LaTex expression showing \log sub 7 64$