Math 3 wk 6
Flashcard
•
Mathematics
•
4th - 5th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is 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.
2.
FLASHCARD QUESTION
Front
What is the Power Property of Logarithms?
Back
The Power Property states that log_b(a^c) = c * log_b(a). This means you can bring the exponent in front of the logarithm.
3.
FLASHCARD QUESTION
Front
How do you solve for x in the equation log(3x + 25) = 2?
Back
To solve for x, rewrite the equation in exponential form: 3x + 25 = 10^2. Then solve for x.
4.
FLASHCARD QUESTION
Front
What is the natural logarithm?
Back
The natural logarithm, denoted as ln, is the logarithm to the base e, where e is approximately 2.718.
5.
FLASHCARD QUESTION
Front
How do you combine logarithms using the product rule?
Back
The product rule states that log_b(m * n) = log_b(m) + log_b(n). You can add the logarithms when multiplying the arguments.
6.
FLASHCARD QUESTION
Front
What is the value of x if 19^x = 243?
Back
x = 2.5.
7.
FLASHCARD QUESTION
Front
How do you simplify 3 ln 5 - ln 2 into a single logarithm?
Back
Using the properties of logarithms, 3 ln 5 - ln 2 = ln(5^3) - ln(2) = ln(125) - ln(2) = ln(125/2) = ln(62.5).
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