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

Product Property - From Sum (Level 1)

This math topic involves practicing with the logarithmic product property. Specifically, it covers converting sums of logarithms into a single logarithmic expression using the product rule. The problems present expressions like "log base 2 of 6 + log base 2 of 3" and require finding the equivalent expression that combines these logs into one, according to the logarithmic product property. Each problem offers multiple-choice answers, and learners must select the correct expression that represents the combined logarithmic form. This topic is designed to deepen understanding of logarithm operations within algebraic contexts.

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

more

Logarithms - Product Property - From Sum Worksheet

Math worksheet on 'Logarithms - Product Property - From Sum (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 product property

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

a $A LaTex expression showing \log sub 0 64$

b $A LaTex expression showing \log sub 64 2$

c $A LaTex expression showing \log sub 2 64$

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

$A LaTex expression showing \log sub 3 9 + \log sub 3 6$

a $A LaTex expression showing \log sub 3 56$

b $A LaTex expression showing \log sub 3 54$

c $A LaTex expression showing \log sub 54 3$

d $A LaTex expression showing \log sub 3 53$

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

$A LaTex expression showing \log sub 6 3 + \log sub 6 9$

a $A LaTex expression showing \log sub 6 28$

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

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

d $A LaTex expression showing \log sub 6 25$

e $A LaTex expression showing \log sub 7 27$

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

$A LaTex expression showing \log sub 5 6 + \log sub 5 3$

a $A LaTex expression showing \log sub 6 18$

b $A LaTex expression showing \log sub 5 17$

c $A LaTex expression showing \log sub 5 18$

d $A LaTex expression showing \log sub 18 5$

e $A LaTex expression showing \log sub 5 19$

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

$A LaTex expression showing \log sub 4 8 + \log sub 4 3$

a $A LaTex expression showing \log sub 4 24$

b $A LaTex expression showing \log sub 24 4$

c $A LaTex expression showing \log sub 4 23$

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

$A LaTex expression showing \log sub 9 8 + \log sub 9 3$

a $A LaTex expression showing \log sub 24 9$

b $A LaTex expression showing \log sub 10 24$

c $A LaTex expression showing \log sub 8 24$

d $A LaTex expression showing \log sub 9 24$

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

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

a $A LaTex expression showing \log sub 36 2$

b $A LaTex expression showing \log sub 4 36$

c $A LaTex expression showing \log sub 1 36$

d $A LaTex expression showing \log sub 2 36$