Writing Expressions As A Single Logarithm
Related Pages
Common And Natural Logarithm
Logarithmic Functions
Logarithm Properties
More Lessons for Grade 9
Combining Logarithmic Expressions
How to condense or combine a logarithmic expression into a single logarithm using the properties of logarithms?
Example:
Combine into a single logarithm.
2log5x + 3log52
2log 8 - 3log 2
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How to condense or combine a logarithmic expression into a single logarithm using the properties of logarithms?
Example:
Combine into a single logarithm.
5ln x + 1/2 ln y - 7 ln z
4log 2 - 2log 3 - log 4
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Condensing Logarithms
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.
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Properties of Logs - Simplify Expression
Apply the properties of logarithms to write a single expression.
Example:
Write as a single expression.
1. log √2 + log 3√2
2. ln 33 - ln 3
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How to condense multiple logarithms into a single logarithmic expression?
Example:
1/2 log8 x + 3 log8 (x + 1)
2 ln (x + 2)2 - ln x
1/3 [log2 x + log2 (x - 4)]
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Writing Expressions As A Single Logarithm
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