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Questions and Answers
Which function is the inverse of exponentiation?
Which function is the inverse of exponentiation?
- Logarithm (correct)
- Addition
- Multiplication
- Differentiation
What is the logarithm base 10 of 1000?
What is the logarithm base 10 of 1000?
- 4
- 1
- 2
- 3 (correct)
What is the base of the natural logarithm?
What is the base of the natural logarithm?
- $\sqrt{2}$
- $\frac{1},{2}$
- $e$ (correct)
- $\pi$
Which logarithm is frequently used in computer science?
Which logarithm is frequently used in computer science?
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Who introduced logarithms?
Who introduced logarithms?
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Which logarithm is commonly used in science and engineering?
Which logarithm is commonly used in science and engineering?
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What is the value of the natural logarithm base e?
What is the value of the natural logarithm base e?
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Who introduced logarithms?
Who introduced logarithms?
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What is the inverse function to exponentiation?
What is the inverse function to exponentiation?
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Which logarithm uses base 2 and is frequently used in computer science?
Which logarithm uses base 2 and is frequently used in computer science?
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Study Notes
Inverses of Functions
- The inverse function of exponentiation is the logarithm.
Logarithmic Values
- The logarithm base 10 of 1000 is 3, as 10 raised to the power of 3 equals 1000.
Types of Logarithms
- The base of the natural logarithm is Euler's number, approximately 2.71828, denoted as e.
- The common logarithm used in science and engineering typically refers to logarithms with base 10.
Logarithms in Computer Science
- The logarithm frequently used in computer science is the logarithm base 2, denoted as logâ‚‚, which is significant in algorithms and complexity analysis.
Historical Context
- Logarithms were introduced by John Napier in the early 17th century.
- Logarithms simplify calculations, particularly multiplication and division, by converting them into addition and subtraction.
Additional Information
- The value of the natural logarithm base e, denoted as ln(e), is 1, since e raised to the power of 1 equals e.
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