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What does this Equal When Applying the Product Property of Logarithms?
log(a)B+log(a)C
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Definition
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What does this Equal When Applying the Quotient Property of Logarithms?
log(a)B-log(a)C
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Definition
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What does this Equal When applying the Power Property of Logarithms?
log(a)B^C
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Definition
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Term
How do you know that a logarithmic statement has been condensed?
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Definition
When there is only one log remaining
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What does this Equal When Applying the Equality Property of Logarithms?
log(a)[Bx-C]=log(a)[Dx-E]
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Definition
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Term
Is this a true statement?
log(a)[B+C]=log(a)B+log(a)C
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Definition
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Term
Is this a true statement?
log(a)[B-C]=log(a)B-log(a)C
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Definition
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What is this Equal to?
ln
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Definition
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Term
What does this logarithm equal?
A^log(A)B
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Definition
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What does this equal?
log
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Definition
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Term
If
A^B=A^x
Then What is the Simplified Form?
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Definition
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Term
If
A^B=A^C-X
Then What is the Simplified Form?
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Definition
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Term
If
(A^B)^C
Then What is the Simplified Form?
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Definition
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Term
What is the Solution?
A^-|x|=A^B
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Definition
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Term
What is the solution to this logarithm?
log(A)x=-1
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Definition
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Term
How do you solve and write the answer with Natural Logarithms?
A^(Bx+C)=D
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Definition
1.)Take the Natural Log of Both Sides
lnA^(Bx+C)=lnD
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2.)Apply the Power Property of Logarithms
(Bx+C)lnA=lnD
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3.)Distribute
BxlnA+ClnA=lnD
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4.)Subtract ClnA from both sides
BxlnA=lnD-ClnA
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5.)Divide BlnA from both sides
x=(lnD-ClnA)/BlnA
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