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Example Questions
Example Question #2972 : Algebra Ii
, with
positive and not equal to 1.
Which of the following is true of for all such
?
Possible Answers:
Correct answer:
Explanation:
By definition,
If and only if
Square both sides, and apply the Power of a Power Property to the left expression:
It follows that for all positive not equal to 1,
for all .
Example Question #1 : Understanding Logarithms
What is the value of that satisfies the equation
?
Possible Answers:
Correct answer:
Explanation:
is equivalent to
. In this case, you know the value of
(the argument of a logarithmic equation) and b (the answer to the logarithmic equation). You must find a solution for the base.
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