What is the product rule for logarithms?

Unit 5 Test

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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
log_b(xy) = log_b(x) + log_b(y)
2.
FLASHCARD QUESTION
Front
What is the quotient rule for logarithms?
Back
log_b(x/y) = log_b(x) - log_b(y)
3.
FLASHCARD QUESTION
Front
What is the power rule for logarithms?
Back
log_b(x^n) = n * log_b(x)
4.
FLASHCARD QUESTION
Front
How do you rewrite log_b(x) + log_b(y) as a single logarithm?
Back
log_b(xy)
5.
FLASHCARD QUESTION
Front
How do you rewrite log_b(x) - log_b(y) as a single logarithm?
Back
log_b(x/y)
6.
FLASHCARD QUESTION
Front
What is the value of log_b(b)?
Back
1, because b^1 = b.
7.
FLASHCARD QUESTION
Front
What is the value of log_b(1)?
Back
0, because b^0 = 1.
8.
FLASHCARD QUESTION
Front
How do you solve the equation 4^(6x-12) = 7?
Back
x = 2.23.
9.
FLASHCARD QUESTION
Front
Rewrite 4 log g - 2 log h as a single logarithm.
Back
log(g^4/h^2)
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