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Algebra II

Dive into the essential rules of logarithms including the Product, Quotient, and Power properties. This lesson provides a clear understanding of how to expand and condense logarithmic expressions, alongside practical applications for approximating logarithm values using predefined constants. Learn to utilize the change of base formula effectively and evaluate various logarithmic expressions. Perfect for Algebra II students looking to master logarithmic concepts. Homework exercises reinforce these vital topics and prepare you for future mathematical challenges.

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Algebra II

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  1. Algebra II 8-5 Notes

  2. Rules of Logarithms Product Property: logbxy = _______ + ________ Quotient Property: logbx/y = _______ - _______ Power Property: logbun = ___________

  3. Properties of Logarithms Use log53 = 0.683 and log57 = 1.209 to approximate: log53/7= log521 = log549 =

  4. Expand Expand the following: log34x2 b. log3x y ln5x2 y3

  5. Condense Condense the following: log6 + 2log2 – log3 3lnx - 2lny +5lnz 3(log23 – log2x) + (log2x – log29)

  6. Change of Base Formula logcu = logu and logcu = lnu logclnc Therefore log512 = =

  7. Evaluate the following log724 log531/3 log225 =

  8. Homework Section 8-5: Page 496 # 14-72 even

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