
PCX Chapter 3 Review
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the formula for continuous compound interest?
Back
A = Pe^(rt), where A is the amount of money accumulated after n years, P is the principal amount (the initial amount of money), r is the annual interest rate (decimal), and t is the time the money is invested for in years.
2.
FLASHCARD QUESTION
Front
What is the value of log(100) in base 10?
Back
2, because 10^2 = 100.
3.
FLASHCARD QUESTION
Front
How do you solve the equation log(x) + log(8) = 2?
Back
Combine the logs: log(8x) = 2, then convert to exponential form: 8x = 100, so x = 12.5.
4.
FLASHCARD QUESTION
Front
What is the definition of a logarithm?
Back
A logarithm is the power to which a number must be raised to obtain another number. For example, log_b(a) = c means b^c = a.
5.
FLASHCARD QUESTION
Front
What is the change of base formula for logarithms?
Back
log_b(a) = log_k(a) / log_k(b), where k is any positive number.
6.
FLASHCARD QUESTION
Front
How do you solve for x in the equation 8^(x+1) = 3?
Back
Take the logarithm of both sides: (x+1)log(8) = log(3), then solve for x.
7.
FLASHCARD QUESTION
Front
What is the product property of logarithms?
Back
log_b(mn) = log_b(m) + log_b(n), which states that the log of a product is the sum of the logs.
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