Logarithms

Product Property - Sum to Product (Integer Multiplication) (Level 1)

This math topic focuses on practicing the product property of logarithms, specifically converting sums of logarithms to a single logarithmic expression involving integer multiplication. Each problem presents a sum of two logarithms with the same base and asks to rewrite this sum as a single logarithm using the product of the arguments. The aim is to deepen understanding of logarithmic properties and their applications in calculations, enhancing skills in manipulating and simplifying logarithmic expressions. Each problem comes with multiple-choice answers, testing the ability to accurately apply the product rule in logarithms.

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

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Logarithms - Product Property - Sum to Product (Integer Multiplication) Worksheet

Logarithms - Product Property - Sum to Product (Integer Multiplicatio...

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

$A LaTex expression showing \log sub 9 2 + \log sub 9 8$

a $A LaTex expression showing \log sub 8 (9 times 2)$

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

c $A LaTex expression showing \log sub 9 (2 times 8)$

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

$A LaTex expression showing \log sub 3 2 + \log sub 3 4$

a $A LaTex expression showing \log sub 3 2 over 4$

b $A LaTex expression showing \log sub 4 (3 times 2)$

c $A LaTex expression showing \log sub 3 (2 times 4)$

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

$A LaTex expression showing \log sub 4 9 + \log sub 4 2$

a $A LaTex expression showing \log sub 4 (9 times 2)$

b $A LaTex expression showing \log sub 4 9 over 2$

c $A LaTex expression showing \log sub 2 (4 times 9)$

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

$A LaTex expression showing \log sub 3 5 + \log sub 3 8$

a $A LaTex expression showing \log sub 3 5 over 8$

b $A LaTex expression showing \log sub 8 (3 times 5)$

c $A LaTex expression showing \log sub 3 (5 times 8)$

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

$A LaTex expression showing \log sub 10 4 + \log sub 10 9$

a $A LaTex expression showing \log sub 9 (10 times 4)$

b $A LaTex expression showing \log sub 10 (4 times 9)$

c $A LaTex expression showing \log sub 10 4 over 9$

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

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

a $A LaTex expression showing \log sub 8 9 over 3$

b $A LaTex expression showing \log sub 8 (9 times 3)$

c $A LaTex expression showing \log sub 3 (8 times 9)$

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

$A LaTex expression showing \log sub 3 7 + \log sub 3 6$

a $A LaTex expression showing \log sub 3 (7 times 6)$

b $A LaTex expression showing \log sub 3 7 over 6$

c $A LaTex expression showing \log sub 6 (3 times 7)$

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

$A LaTex expression showing \log sub 7 5 + \log sub 7 8$

a $A LaTex expression showing \log sub 7 (5 times 8)$

b $A LaTex expression showing \log sub 7 5 over 8$

c $A LaTex expression showing \log sub 8 (7 times 5)$