Logarithms 4.3-4.4
Flashcard
•
Mathematics
•
11th - 12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
Rewrite logpt = m in exponential form.
Back
pm = t
2.
FLASHCARD QUESTION
Front
If \( \log 2.4 = 0.380211 \), then what is \( \log 2.4 + \log 10^{-7} \)?
Back
-6.619789
3.
FLASHCARD QUESTION
Front
Evaluate \( \log_8 \frac{1}{\sqrt{8}} = x \).
Back
-\frac{1}{2}
4.
FLASHCARD QUESTION
Front
Expand the logarithm \( \log_5 \frac{x^3}{y^5} \).
Back
3 log5 x - 5 log5 y
5.
FLASHCARD QUESTION
Front
Solve for x: \( \log_x \left(\frac{1}{8}\right) = -\frac{3}{4} \).
Back
x = 16
6.
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.
7.
FLASHCARD QUESTION
Front
State the change of base formula for logarithms.
Back
\( \log_b a = \frac{\log_k a}{\log_k b} \) for any base k.
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