(2.9)Simplifying Logarithmic Expressions
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the definition of a logarithm?
Back
A logarithm is the exponent to which a base must be raised to produce a given number. For example, if \( b^y = x \), then \( \log_b(x) = y \).
2.
FLASHCARD QUESTION
Front
Evaluate \( \log_7 343 \).
Back
3
3.
FLASHCARD QUESTION
Front
True or False: \( \log_8 64 = 2 \).
Back
True
4.
FLASHCARD QUESTION
Front
Rewrite \( \log_2 8 = 3 \) in exponential form.
Back
\( 2^3 = 8 \)
5.
FLASHCARD QUESTION
Front
Simplify \( \log_2 \frac{1}{8} \).
Back
-3
6.
FLASHCARD QUESTION
Front
Simplify \( \log_7 49 \).
Back
2
7.
FLASHCARD QUESTION
Front
What is the change of base formula for logarithms?
Back
The change of base formula states that \( \log_b(a) = \frac{\log_k(a)}{\log_k(b)} \) for any positive base \( k \).
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