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In order to condense a log and an integer into a single log, you must set yourself up to use either the quotient or product rules that is, you want a sum or difference of two logs with the same base. Rewrite the integer as a log with the same base as the other term. Your final result may use parentheses to more clearly show what product or quotient is the input into the log function.
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Concept (1)
Sample Problems (6)
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Condensing Logarithms
Problem 1 8,162 viewsCondense:
4log_{3}x − ½log_{3}y + log_{3}z 
Condensing Logarithms
Problem 2 5,661 viewsCondense:
2log_{5}x − ¾log_{5}y + 4log_{5}z − 2log_{5}3 
Condensing Logarithms
Problem 3 4,870 viewsCondense:
2log_{7}x  3log_{7}y + 3 
Condensing Logarithms
Problem 4 569 views 
Condensing Logarithms
Problem 5 434 views 
Condensing Logarithms
Problem 6 478 views
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