8-5 NOTES Algebra II. Rules of Logarithms Product Property: log b xy = ___ + Quotient Property: log b x/y = _ - _____ Power Property:

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Presentation transcript:

8-5 NOTES Algebra II

Rules of Logarithms Product Property: log b xy = _______ + ________ Quotient Property: log b x/y = _______ - _______ Power Property: log b u n = ___________

Properties of Logarithms Use log 5 3 = and log 5 7 = to approximate: a. log 5 3/7= b. log 5 21 = c. log 5 49 =

Expand Expand the following: a. log 3 4x 2 b. log3x y c. ln5x 2 y 3

Condense Condense the following: a. log6 + 2log2 – log3 b. 3lnx - 2lny +5lnz c. 3(log 2 3 – log 2 x) + (log 2 x – log 2 9)

Change of Base Formula log c u = logu and log c u = lnu logc lnc Therefore log 5 12 = =

Evaluate the following log 7 24 log 5 31/3 log 2 25 =

Homework Section 8-5: Page 496 # even