### 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 Problems (6)

Need help with "Condensing Logarithms" problems? Watch expert teachers solve similar problems to develop your skills.

Condense:

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

Condense:

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

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.
###### Problem 4
How to condense log expressions using quotient and product rules.
###### Problem 5
How to condense log expressions using the power rule.
###### Problem 6
Math homework help video on condensing log expressions that contain an integer term.