Difference between revisions of "Logarithmic Properties"
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| + | Logarithmic Properties | ||
| + | * Equality rule: If <math> \log_a(x) = \log_a(y) </math>, then <math> x = y </math> | ||
| + | * Product rule: <math> \log_a(xy) = \log_a(x) + \log_a(y) </math> | ||
| + | * Quotient rule: <math> \log_a\left(\frac{x}{y}\right) = \log_a(x) - \log_a(y) </math> | ||
| + | * Power rule: <math> \log_a(x^n) = n\log_a(x) </math> | ||
| + | * Change-of-base rule: <math> \log_a(x) = \frac{\log_b(x)}{\log_b(a)} </math> | ||
| + | |||
==Resources== | ==Resources== | ||
* [https://mathresearch.utsa.edu/wikiFiles/MAT1053/Logarithmic%20Properties/MAT1053_M6.1Logarithmic_Properties.pdf Logarithmic Properties], Book Chapter | * [https://mathresearch.utsa.edu/wikiFiles/MAT1053/Logarithmic%20Properties/MAT1053_M6.1Logarithmic_Properties.pdf Logarithmic Properties], Book Chapter | ||
* [https://mathresearch.utsa.edu/wikiFiles/MAT1053/Logarithmic%20Properties/MAT1053_M6.1Logarithmic_PropertiesGN.pdf Guided Notes] | * [https://mathresearch.utsa.edu/wikiFiles/MAT1053/Logarithmic%20Properties/MAT1053_M6.1Logarithmic_PropertiesGN.pdf Guided Notes] | ||
Revision as of 13:44, 22 September 2021
Logarithmic Properties
- Equality rule: If , then
- Product rule:
- Quotient rule:
- Power rule:
- Change-of-base rule:
Resources
- Logarithmic Properties, Book Chapter
- Guided Notes
