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Example Questions
Example Question #1 : Using Natural Log And Log Base 10
Possible Answers:
Correct answer:
Explanation:
Most of us don't know what the exponent would be if and unfortunately there is no on a graphing calculator -- only (which stands for ).
Fortunately we can use the base change rule:
Plug in our given values.
Example Question #1 : Logarithms
Based on the definition of logarithms, what is ?
Possible Answers:
10
2
4
100
3
Correct answer:
3
Explanation:
For any equation , . Thus, we are trying to determine what power of 10 is 1000. , so our answer is 3.
Example Question #2 : 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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