Condensing Logarithms - Concept

Concept Concept (1)

When evaluating logarithmic equations, we can use methods for condensing logarithms in order to rewrite multiple logarithmic terms into one. Condensing logarithms can be a useful tool for the simplification of logarithmic terms. When condensing logarithms we use the rules of logarithms, including the product rule, the quotient rule and the power rule.

Sample Sample Problems (6)

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Condensing Logarithms - Problem 1

Condense:

4log3x − ½log3y + log3z
Problem 1
How to use the laws of logarithms to condense a log with three terms.
Condensing Logarithms - Problem 2

Condense:

2log5x − ¾log5y + 4log5z − 2log53
Problem 2
How to use the laws of logarithms to condense a log with four terms.
Condensing Logarithms - Problem 3

Condense:

2log7x - 3log7y + 3
Problem 3
How to use the laws of logarithms to condense a log with two log terms and one non-log term.
Condensing Logarithms - Problem 4
Problem 4
How to condense log expressions using quotient and product rules.
Condensing Logarithms - Problem 5
Problem 5
How to condense log expressions using the power rule.
Condensing Logarithms - Problem 6
Problem 6
Math homework help video on condensing log expressions that contain an integer term.