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

Power Property - From Product (Level 1)

This math topic focuses on applying the power property of logarithms. Students practice converting logarithmic expressions employing the power rule, which involves rewriting expressions such as \(n \log_b a\) to the form \(\log_b(a^n)\). The problems presented assess the learners' ability to recognize and utilize this property across various logarithmic expressions, helping them hone their skills in logarithm manipulation and understanding. This set is part of a larger series dedicated to exploring different properties of logarithms.

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

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Logarithms - Power Property - From Product Worksheet

Math worksheet on 'Logarithms - Power Property - From Product (Level 1)'. Part of a broader unit on 'Logarithm Functions - Intro' Learn online: app.mobius.academy/math/units/logarithms_functions_intro/

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

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

a $A LaTex expression showing \log sub 3 124$

b $A LaTex expression showing \log sub 125 3$

c $A LaTex expression showing \log sub 1 125$

d $A LaTex expression showing \log sub 3 123$

e $A LaTex expression showing \log sub 3 125$

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

$A LaTex expression showing 2\log sub 5 11$

a $A LaTex expression showing \log sub 4 121$

b $A LaTex expression showing \log sub 5 121$

c $A LaTex expression showing \log sub 121 5$

d $A LaTex expression showing \log sub 5 119$

e $A LaTex expression showing \log sub 5 123$

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

$A LaTex expression showing 2\log sub 9 11$

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

b $A LaTex expression showing \log sub 9 122$

c $A LaTex expression showing \log sub 9 120$

d $A LaTex expression showing \log sub 9 119$

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

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

$A LaTex expression showing 2\log sub 5 10$

a $A LaTex expression showing \log sub 5 102$

b $A LaTex expression showing \log sub 100 5$

c $A LaTex expression showing \log sub 3 100$

d $A LaTex expression showing \log sub 5 100$

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

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

a $A LaTex expression showing \log sub 125 5$

b $A LaTex expression showing \log sub 5 125$

c $A LaTex expression showing \log sub 5 126$

d $A LaTex expression showing \log sub 5 124$

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

$A LaTex expression showing 3\log sub 8 3$

a $A LaTex expression showing \log sub 27 8$

b $A LaTex expression showing \log sub 6 27$

c $A LaTex expression showing \log sub 8 28$

d $A LaTex expression showing \log sub 8 27$

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

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

a $A LaTex expression showing \log sub 3 100$

b $A LaTex expression showing \log sub 4 100$

c $A LaTex expression showing \log sub 4 98$

d $A LaTex expression showing \log sub 100 4$

e $A LaTex expression showing \log sub 4 99$