Logarithms - Quotient Property - To Difference (Level 1) - Mobius Math Academy

Quotient Property - To Difference (Level 1)

This math topic delves into the use of the quotient property for logarithms to express the logarithm of a quotient as a difference of logarithms. Students are provided with specific logarithmic expressions and are tasked with converting these into their equivalent forms, utilizing the quotient property. Each question presents multiple answer options, testing the students' understanding and application of the logarithmic laws in various logarithmic bases. The problems emphasize practical manipulation and transformation skills vital for mastering logarithms in mathematical computations.

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

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Logarithms - Quotient Property - To Difference Worksheet

Math worksheet on 'Logarithms - Quotient Property - To Difference (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 quotient property

$A LaTex expression showing \log sub 4 2$

a $A LaTex expression showing \log sub 6 4 - \log sub 6 3$

b $A LaTex expression showing \log sub 2 6 - \log sub 2 3$

c $A LaTex expression showing \log sub 6 3 - \log sub 6 4$

d $A LaTex expression showing \log sub 4 6 - \log sub 4 3$

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

$A LaTex expression showing \log sub 9 0.56$

a $A LaTex expression showing \log sub 5 9 - \log sub 5 9$

b $A LaTex expression showing \log sub 8 5 - \log sub 8 9$

c $A LaTex expression showing \log sub 9 9 - \log sub 9 5$

d $A LaTex expression showing \log sub 9 5 - \log sub 9 9$

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

$A LaTex expression showing \log sub 7 1.43$

a $A LaTex expression showing \log sub 6 10 - \log sub 6 7$

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

c $A LaTex expression showing \log sub 9 10 - \log sub 9 7$

d $A LaTex expression showing \log sub 10 7 - \log sub 10 7$

e $A LaTex expression showing \log sub 7 10 - \log sub 7 7$

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

$A LaTex expression showing \log sub 9 0.2$

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

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

c $A LaTex expression showing \log sub 9 10 - \log sub 9 2$

d $A LaTex expression showing \log sub 9 2 - \log sub 9 10$

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

$A LaTex expression showing \log sub 10 1.33$

a $A LaTex expression showing \log sub 10 4 - \log sub 10 3$

b $A LaTex expression showing \log sub 7 4 - \log sub 7 3$

c $A LaTex expression showing \log sub 4 3 - \log sub 4 10$

d $A LaTex expression showing \log sub 10 3 - \log sub 10 4$

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

$A LaTex expression showing \log sub 6 2.5$

a $A LaTex expression showing \log sub 6 5 - \log sub 6 2$

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

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

d $A LaTex expression showing \log sub 7 5 - \log sub 7 2$

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

$A LaTex expression showing \log sub 2 1.13$

a $A LaTex expression showing \log sub 2 8 - \log sub 2 9$

b $A LaTex expression showing \log sub 9 2 - \log sub 9 8$

c $A LaTex expression showing \log sub 2 9 - \log sub 2 8$

d $A LaTex expression showing \log sub 9 8 - \log sub 9 2$