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Example Questions
Example Question #1 :Logarithmic Functions
You are given thatand.
Which of the following is equal to?
Sinceand, it follows thatand
Example Question #1 :Exponential And Logarithmic Functions
Example Question #3 :Exponential And Logarithmic Functions
What is?
Recall that by definition a logarithm is the inverse of the exponential function. Thus, our logarithm corresponds to the value ofin the equation:
.
We know thatand thus our answer is.
Example Question #11 :Exponential And Logarithmic Functions
Solve for:
The correct solution set is not included among the other choices.
The correct solution set is not included among the other choices.
FOIL:
These are ourpossiblesolutions. However, we need to test them.
:
The equation becomes. This is true, sois a solution.
:
However, negative numbers do not have logarithms, so this equation is meaningless.is not a solution, andis the one and only solution. Since this is not one of our choices, the correct response is "The correct solution set is not included among the other choices."
Example Question #1 :Simplifying Exponential Functions
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