Logarithms

Quotient Property - Division as Fraction To Difference (Integers) (Level 1)

This math topic focuses on practicing the quotient property of logarithms, specifically applying it to convert the division of logarithms into subtraction. The problems involve logarithmic expressions with integer bases, where students must convert expressions written as the logarithm of a quotient into a difference of logarithms. Each question presents a different logarithmic expression, asking students to select the correct equivalent form using subtraction of two logarithmic terms. It forms part of an introductory unit on logarithm functions.

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

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Logarithms - Quotient Property - Division as Fraction To Difference (Integers) Worksheet

Logarithms - Quotient Property - Division as Fraction To Difference (...

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

$A LaTex expression showing \log sub 7 8 over 10$

a $A LaTex expression showing \log sub 7 8 - \log sub 7 10$

b $A LaTex expression showing \log sub 8 7 - \log sub 8 10$

c $A LaTex expression showing \log sub 7 10 - \log sub 7 8$

d $A LaTex expression showing \log sub 8 10 - \log sub 8 7$

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

$A LaTex expression showing \log sub 8 9 over 4$

a $A LaTex expression showing \log sub 8 9 - \log sub 8 4$

b $A LaTex expression showing \log sub 8 4 - \log sub 8 9$

c $A LaTex expression showing \log sub 9 8 - \log sub 9 4$

d $A LaTex expression showing \log sub 9 4 - \log sub 9 8$

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

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

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

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

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

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

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

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

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

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

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

d $A LaTex expression showing \log sub 9 2 - \log sub 9 5$

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

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

$A LaTex expression showing \log sub 8 3 over 10$

a $A LaTex expression showing \log sub 8 3 - \log sub 8 10$

b $A LaTex expression showing \log sub 3 10 - \log sub 3 8$

c $A LaTex expression showing \log sub 3 8 - \log sub 3 10$

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

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

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

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

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

c $A LaTex expression showing \log sub 12 5 - \log sub 12 2$

d $A LaTex expression showing \log sub 9 5 - \log sub 9 2$

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

$A LaTex expression showing \log sub 5 3 over 10$

a $A LaTex expression showing \log sub 7 3 - \log sub 7 10$

b $A LaTex expression showing \log sub 6 3 - \log sub 6 10$

c $A LaTex expression showing \log sub 3 5 - \log sub 3 10$

d $A LaTex expression showing \log sub 5 3 - \log sub 5 10$

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

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

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

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

c $A LaTex expression showing \log sub 6 7 - \log sub 6 2$

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