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Published byAnn Lamb Modified over 5 years ago
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Today in Precalculus Notes: Log properties and using log properties to expand logarithmic expressions (no handout, no calculators needed) Go over quiz Homework
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Properties of logs Similar to laws of exponents:
logauv = logau + logav log34x=log34+log3x logaun = nlogau log2x7=7log2x
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Expanding Log Expressions
Use the properties of logs to rewrite one log expression into multiple log terms. Example: Expand log812y Example: Expand log7x2y
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Practice
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Homework Go over quiz Page 317: all
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= log2x½ + log2y4 - log2z4 = ½ log2x + 4log2y - 4log2z
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= log10z - log104 = ln6 – ln(x2+1)½ = ln6 – ½ln(x2+1)
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