All High School Math Resources
Example Questions
Example Question #1 : Logarithms
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 : Log Base 10
Based on the definition of logarithms, what is ?
Possible Answers:
3
2
10
4
100
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 #1 : Using Natural Log And Log Base 10
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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