8-5 notes algebra ii. rules of logarithms product property: log b xy = _ + __ quotient...

8-5 NOTES Algebra II

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8-5 NOTES

Algebra II

Rules of Logarithms

Product Property: logbxy = _______ + ________

Quotient Property: logbx/y = _______ - _______

Power Property: logbun = ___________

Properties of Logarithms

Use log53 = 0.683 and log57 = 1.209 to approximate:

a. log53/7=

b. log521 =

c. log549 =

Page 4: 8-5 NOTES Algebra II. Rules of Logarithms Product Property: log b xy = _______ + ________ Quotient Property: log b x/y = _______ - _______ Power Property:

Expand

Expand the following:

a. log34x2

b. log3x

c. ln5x2

Page 5: 8-5 NOTES Algebra II. Rules of Logarithms Product Property: log b xy = _______ + ________ Quotient Property: log b x/y = _______ - _______ Power Property:

Condense

Condense the following:a. log6 + 2log2 – log3

b. 3lnx - 2lny +5lnz

c. 3(log23 – log2x) + (log2x – log29)

Page 6: 8-5 NOTES Algebra II. Rules of Logarithms Product Property: log b xy = _______ + ________ Quotient Property: log b x/y = _______ - _______ Power Property:

Change of Base Formula

logcu = logu and logcu = lnu

logc lnc

Therefore log512 = =

Page 7: 8-5 NOTES Algebra II. Rules of Logarithms Product Property: log b xy = _______ + ________ Quotient Property: log b x/y = _______ - _______ Power Property:

Evaluate the following

log724

log531/3

log225 =

Page 8: 8-5 NOTES Algebra II. Rules of Logarithms Product Property: log b xy = _______ + ________ Quotient Property: log b x/y = _______ - _______ Power Property:

Homework

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

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8-5 notes algebra ii. rules of logarithms product property: log b xy = _______ + ________ quotient...

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8-5 notes algebra ii. rules of logarithms product property: log b xy = _ + __ quotient...