
Log/Exponential Function Recap PC
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
Convert 16 = 2^x to a Log
Back
Log_2(16) = x
2.
FLASHCARD QUESTION
Front
Solve: log_3(x - 5) = 2
Back
x = 14
3.
FLASHCARD QUESTION
Front
Katy deposited $90 in a savings account earning 5% interest, compounded quarterly. Which equation represents the amount of money in her account yearly?
Back
A = 90(1 + 0.05/4)^(4t) where A is the amount after t years.
4.
FLASHCARD QUESTION
Front
Convert Log_2(64) = y to an exponent
Back
2^y = 64
5.
FLASHCARD QUESTION
Front
If you invest $5,000 into an account paying 6% interest compounded continuously, how many years until there is $8,000?
Back
t = 7.83 years
6.
FLASHCARD QUESTION
Front
Definition of a logarithm
Back
A logarithm is the inverse operation to exponentiation, answering the question: to what exponent must a base be raised to produce a given number.
7.
FLASHCARD QUESTION
Front
Change of Base Formula for Logarithms
Back
log_b(a) = log_k(a) / log_k(b) for any base k.
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