Today in Precalculus Notes: Log properties and using log properties to expand logarithmic expressions (no handout, no calculators needed) Go over quiz.

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Presentation transcript:

Today in Precalculus Notes: Log properties and using log properties to expand logarithmic expressions (no handout, no calculators needed) Go over quiz Homework

Properties of logs Similar to laws of exponents: logauv = logau + logav log34x=log34+log3x logaun = nlogau log2x7=7log2x

Expanding Log Expressions Use the properties of logs to rewrite one log expression into multiple log terms. Example: Expand log812y Example: Expand log7x2y

Practice

Homework Go over quiz Page 317: 1- 12 all

= log2x½ + log2y4 - log2z4 = ½ log2x + 4log2y - 4log2z

= log10z - log104 = ln6 – ln(x2+1)½ = ln6 – ½ln(x2+1)