What is a logarithm?
FLASHCARD - Solving Equations Using Logarithms

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Mathematics
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9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A logarithm is the power to which a number must be raised to obtain another number. For example, if b^y = x, then log_b(x) = y.
2.
FLASHCARD QUESTION
Front
What is the base of a logarithm?
Back
The base of a logarithm is the number that is raised to a power. In log_b(x), b is the base.
3.
FLASHCARD QUESTION
Front
What is the natural logarithm?
Back
The natural logarithm is the logarithm to the base e, where e is approximately equal to 2.718. It is denoted as ln(x).
4.
FLASHCARD QUESTION
Front
What is the relationship between exponents and logarithms?
Back
Logarithms are the inverse operations of exponentiation. If b^y = x, then log_b(x) = y.
5.
FLASHCARD QUESTION
Front
How do you solve the equation e^(x+4) = 12?
Back
Take the natural logarithm of both sides: x + 4 = ln(12), then solve for x: x = ln(12) - 4.
6.
FLASHCARD QUESTION
Front
What is the definition of log(x) = 1?
Back
This means that x = 10^1, so x = 10.
7.
FLASHCARD QUESTION
Front
How do you solve log(x + 6) = 1?
Back
Convert to exponential form: x + 6 = 10^1, so x = 10 - 6 = 4.
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