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

Quotient Property - From Difference (Level 1)

This math topic focuses on using the quotient property of logarithms to simplify expressions that involve the difference of logarithms. By summarizing the given logarithmic expressions based on the quotient property, students learn to express the difference of two logs with the same base as the log of the quotient of their arguments. Each problem presents an expression in the form \(\log_b a - \log_b c\) and asks to convert it to \(\log_b \left(\frac{a}{c}\right)\), thus reinforcing an essential logarithmic identity. The worksheet includes options for answering and offers multiple-choice refinement of the concepts.

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

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Logarithms - Quotient Property - From Difference Worksheet

Math worksheet on 'Logarithms - Quotient Property - From 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

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

a $A LaTex expression showing \log sub 7 0.5$

b $A LaTex expression showing \log sub 7 1.5$

c $A LaTex expression showing \log sub 6 0.5$

d $A LaTex expression showing \log sub 7 2.5$

e $A LaTex expression showing \log sub 1 7$

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

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

a $A LaTex expression showing \log sub 7 1$

b $A LaTex expression showing \log sub 1 5$

c $A LaTex expression showing \log sub 5 1$

d $A LaTex expression showing \log sub 5 0$

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

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

a $A LaTex expression showing \log sub 10 0.43$

b $A LaTex expression showing \log sub 0 10$

c $A LaTex expression showing \log sub 10 -0.57$

d $A LaTex expression showing \log sub 10 2.43$

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

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

a $A LaTex expression showing \log sub 10 4.5$

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

c $A LaTex expression showing \log sub 10 3.5$

d $A LaTex expression showing \log sub 10 2.5$

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

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

a $A LaTex expression showing \log sub 6 2.33$

b $A LaTex expression showing \log sub 6 1.33$

c $A LaTex expression showing \log sub 6 0.33$

d $A LaTex expression showing \log sub 0 6$

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

$A LaTex expression showing \log sub 10 4 - \log sub 10 8$

a $A LaTex expression showing \log sub 1 10$

b $A LaTex expression showing \log sub 12 0.5$

c $A LaTex expression showing \log sub 8 0.5$

d $A LaTex expression showing \log sub 10 0.5$

e $A LaTex expression showing \log sub 10 -0.5$

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

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

a $A LaTex expression showing \log sub 2 0.4$

b $A LaTex expression showing \log sub 2 -1.6$

c $A LaTex expression showing \log sub 1 0.4$

d $A LaTex expression showing \log sub 0 2$