
Logarithms and Exponentials Test Review 23-24
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the domain of the function \( f(x) = \log(x + 1) - 3 \)?
Back
The domain is \((-1, \infty)\) because the argument of the logarithm must be greater than zero.
2.
FLASHCARD QUESTION
Front
What is the value of \( e^{-3} \)?
Back
The value is approximately \( 0.0498 \).
Tags
CCSS.HSF.LE.A.2
3.
FLASHCARD QUESTION
Front
How long will it take for an investment to triple if it earns 11% interest compounded continuously?
Back
It will take approximately 9.99 years.
Tags
CCSS.HSF.LE.A.4
4.
FLASHCARD QUESTION
Front
Evaluate the logarithm: \( \log_2 32 \)
Back
The value is 5.
Tags
CCSS.HSF.BF.B.5
5.
FLASHCARD QUESTION
Front
What function models a population decreasing by 1.8% annually since 2015 if the initial population was 200,000?
Back
The function is \( y = 200,000(1 - 0.018)^t \) where \( t \) is the number of years since 2015.
Tags
CCSS.HSF.LE.A.2
6.
FLASHCARD QUESTION
Front
Define a logarithm.
Back
A logarithm is the inverse operation to exponentiation, indicating the power to which a base must be raised to obtain a given number.
7.
FLASHCARD QUESTION
Front
What is the base of the natural logarithm?
Back
The base of the natural logarithm is \( e \), approximately equal to 2.718.
Tags
CCSS.HSF.BF.B.5
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