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2-Precalculus:Homework:4.3:Notes
2-Precalculus:Homework:4.3:Notes
14
Mathematics
Undergraduate 1
03/29/2016

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Cards

Term
log(a)BC=
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Definition
log(a)B+log(a)C
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Term
log(10)A/x=
if
x=B
and
log(10)x=C
-------
Definition
C-A
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Term
log(A)B/C=
-------
Definition
log(a)B-log(a)C
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Term
How do you write this expression in expanded form?
ln[x(x-A)]=
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Definition
lnx+ln(x-A)
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Term
What is the Product Rule of Logarithms?
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Definition
log(A)BC=log(A)B+log(A)C
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Term
What is the Quotient Rule of Logarithms?
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Definition
log(A)B/C=log(A)B-log(A)C
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Term
What is the Power Rule of Logarithms?
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Definition
log(A)B^C=Clog(A)B
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Term
How do you express this in terms of logarithms without exponents?
log(A)[B^C][D^E][F]
--------
Definition
1.)Use the Product Property
log(A)B^C+log(A)D^E+log(A)F
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2.)Use the Power Property
Clog(A)B+Elog(A)D+log(A)F
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Term
How do you express this in terms of logarithms?
log(A)[[BC^D]/[E^F]]
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Definition
1.)Use the Quotient Property
log(A)[BC^D]-log(A)[E^F]
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2.)Use the Product Property
Dlog(A)[BC]-Flog(A)[E]
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Term
What is this Equal To?
A^[B/C]
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Definition
Croot of A to the power of B
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Term
What does this equal?
A^B/C
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Definition
Croot of A^B
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Term
Is this statement True or False?
log(A)[B+C]=log(A)B+log(A)C
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Definition
False
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Term
How to write this expression in condensed form?
lnA+BlnC+DlnE
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Definition
lnA[C^B]E^D
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Term
What is the value of this expression?
A^[Blog(A)B+log(A)C]
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Definition
(B^B)*C
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