10 Questions
Which function is the inverse of exponentiation?
Logarithm
What is the logarithm base 10 of 1000?
3
What is the base of the natural logarithm?
$e$
Which logarithm is frequently used in computer science?
Binary logarithm
Who introduced logarithms?
John Napier
Which logarithm is commonly used in science and engineering?
Common logarithm
What is the value of the natural logarithm base e?
2.718
Who introduced logarithms?
John Napier
What is the inverse function to exponentiation?
Logarithm
Which logarithm uses base 2 and is frequently used in computer science?
Binary logarithm
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 log₂, 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.
Test your knowledge of logarithms with this quiz! From understanding the basic concept of logarithms to solving logarithmic equations, challenge yourself to see how well you grasp this important mathematical concept.
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