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Precalculus: Homework 4.3 Notes
Precalculus: Homework 4.3 Notes
14
Mathematics
Undergraduate 1
10/29/2015

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Term
Define the Product Rule of Logarithms
Definition
log(a)MN=log(a)M+log(a)N
Term
Define the Quotient Rule of Logarithms
Definition
log(a)M/N = log(a)M-log(a)N
Term
Given that logM=P and logN=Q
Solve for..
log(a)M/N
Definition
1.) Apply the Quotient Rule of Logarithms
2.) Solve Q-P, the solution is your answer.
Term
Define the Power Rule of Logarithms
Definition
log(a)M^r=rlog(a)M
Term
ln[x(x+A)] In Expanded Form Equals..
Definition
lnx+ln(x+A)
Term
ln[x(x-A)] In Expanded Form Equals...
Definition
lnx+ln(x-A)
Term
What Does It Mean To Express A Term In Logarithms?
Definition
To write the given logarithmic expression as a sum or difference of individual logarithms.
Term
How to Express In Terms of Logarithms?
Definition
1.) Apply the Product or Quotient Property of Logarithms to write the expression as a sum or difference of algorithms.
2.) Use the Power Property to Write Logarithms of Expressions Raised to A Power As The Product of the Exponent and a simpler logarithm.
3.) Simplify if Possible
Term
To Write An Expression In Condensed Form...
Definition
Use the Power, Product, and Quotient Rules of Logarithms to make the expression as short as possible.
Term
y=log(a)x If and Only If...
Definition
x=a^y
Term
How to Find the Value of An Expression In the Form:
logA+BlogC
Definition
1.) Apply Power Rule
2.) Apply Product Rule
3.) Find the value of "y" using the rule: y=log(a)x If and Only If x=a^y
4.) The value of y is the answer.
Term
How to Evaluate an Expression In the Form:
B^[[log(a)C]+log(a)D]
Definition
1.) Apply Power Rule of Logarithms
2.) Apply Product Rule of Logarithms
3.) Apply Basic Property of Logarithms
4.) The Solution For X, is the Solution of the Problem
Term
Define the Basic Property of Logarithms
Definition
a^log(a)x=x
Term
Define The Change of Base Formula
Definition
log(b)a=log(c)a/log(c)b
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