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How do you convert this logarithm into an exponential equation?
log(A)B=C
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How do you convert this exponential equation into a logarithm?
A^B=C
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How do you find the value of "C"?
log(A)B=C
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Find what exponent is needed for
A to Equal B: That value is C
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What does this Equal?
(A^(-B))
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What is the solution to this logarithm?
log(A)A=
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The solution is 1
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What is the solution to this logarithm?
log(A)1=
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The solution is 0
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What is the solution to this logarithm?
log(A)A^B=
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The solution is B
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What is the solution to this logarithm?
A^log(A)B=
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The solution is B
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What is the domain of this function?
f(x)=log(A)[sqrt(x+B)]
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The domain is (-B,Infinity)
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What does a logarithm graph look like?
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The shoulder of someone standing just out of view of the graph, to the far right. Their shoulder touches the y-axis.
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The graph of this logarithm is shifted "B" units horizontally in what direction?
f(x)=log(A)[sqrt(x+B)]
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The graph of this logarithm is shifted "B" units horizontally in what direction?
f(x)=log(A)[sqrt(x-B)]
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What is always the range of this logarithmic function?
f(x)=log(A)[sqrt(x+B)]
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(-Infinity,Infinity)
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What is the vertical asymptote of this logarithmic function?
f(x)=log(A)[sqrt(x+B)]
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What is the vertical asymptote of this logarithmic function?
f(x)=log(A)[sqrt(x-B)]
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Is it true that if
y=e^(-x)
That
As x approaches Infinity
y approaches zero
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