Difference between revisions of "Logarithmic Properties"

Latest revision as of 14:46, 21 October 2021

Logarithmic Properties

Equality rule: If Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \log_a(x) = \log_a(y) } , then $x=y$
Product rule: $\log _{a}(xy)=\log _{a}(x)+\log _{a}(y)$
Quotient rule: $\log _{a}\left({\frac {x}{y}}\right)=\log _{a}(x)-\log _{a}(y)$
Power rule: $\log _{a}(x^{n})=n\log _{a}(x)$
Change-of-base rule: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \log_a(x) = \frac{\log_b(x)}{\log_b(a)} }

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 * [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]
-== Licensing ==
-Content obtained and/or adapted from:
-* [https://en.wikibooks.org/wiki/A-level_Mathematics/OCR/C2/Logarithms_and_Exponentials Logarithms and Exponentials, Wikibooks: A-level Mathematics/OCR/C2] under a CC BY-SA license