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55.4- Condensing Logarithms ·3 log4² Slightly harder than expanding but more useful + log₁42²³ 2 add in poner ¿ squish it all together, Z 3 Z ex = log₁7-=loux + 3 11 (722) = logy ( Conclense: X 2 loge x - 3/1961 - 2109,6 4 + 2log (3+1) (741)² = (521² = 1096x² - 109648 - 109₁ 42 + 1096 (2+1) ² 169 6x² - 10964² - 1096 16 + 1096 √2+1 rvey on botterm pus on top 2 = log ( Tlby 3 X² √(ZH)) 10% Positive sign in front on the regative on bottom
iOS User
Stefan S, iOS User
SuSSan, iOS User
This set of notes is tailored for high school Pre-Calculus students, focusing on the techniques of condensing and expanding logarithmic expressions. The material is presented in a straightforward, easy-to-understand manner, making it an ideal resource for students seeking clarity on these topics. The notes include: - Step-by-step instructions on how to condense logarithms, turning multiple log expressions into a single logarithm. - Detailed examples showing the process of expanding logarithmic expressions, including the breakdown of the log8(a/2) expression. - A clear explanation of how logarithms can be combined or condensed using standard log properties. - Tools and methods for expressing complex logarithmic expressions as a single logarithm. - Guidelines for using a log condenser and log condense calculators effectively. - Practice problems to help reinforce the concepts of both condensing and expanding logarithms. These notes are specifically crafted to assist students in mastering the skill of manipulating logarithmic expressions, a fundamental aspect of Pre-Calculus. They provide not only theoretical explanations but also practical examples and exercises to enhance comprehension and application of these concepts.
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55.4- Condensing Logarithms ·3 log4² Slightly harder than expanding but more useful + log₁42²³ 2 add in poner ¿ squish it all together, Z 3 Z ex = log₁7-=loux + 3 11 (722) = logy ( Conclense: X 2 loge x - 3/1961 - 2109,6 4 + 2log (3+1) (741)² = (521² = 1096x² - 109648 - 109₁ 42 + 1096 (2+1) ² 169 6x² - 10964² - 1096 16 + 1096 √2+1 rvey on botterm pus on top 2 = log ( Tlby 3 X² √(ZH)) 10% Positive sign in front on the regative on bottom
55.4- Condensing Logarithms ·3 log4² Slightly harder than expanding but more useful + log₁42²³ 2 add in poner ¿ squish it all together, Z 3 Z ex = log₁7-=loux + 3 11 (722) = logy ( Conclense: X 2 loge x - 3/1961 - 2109,6 4 + 2log (3+1) (741)² = (521² = 1096x² - 109648 - 109₁ 42 + 1096 (2+1) ² 169 6x² - 10964² - 1096 16 + 1096 √2+1 rvey on botterm pus on top 2 = log ( Tlby 3 X² √(ZH)) 10% Positive sign in front on the regative on bottom
iOS User
Stefan S, iOS User
SuSSan, iOS User