The Logarithm Mastery Quiz

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Questions and Answers

Which function is the inverse of exponentiation?

  • Logarithm (correct)
  • Subtraction
  • Multiplication
  • Addition

What is the logarithm base 10 of 1000?

  • 3 (correct)
  • 1
  • 2
  • 4

What is the base of the natural logarithm?

  • e (correct)
  • 10
  • π
  • 2

Which logarithm is frequently used in computer science?

<p>Binary logarithm (B)</p> Signup and view all the answers

Who introduced logarithms?

<p>John Napier (B)</p> Signup and view all the answers

True or false: The logarithm of a number x to base b is the exponent to which b must be raised to produce x.

<p>True (A)</p> Signup and view all the answers

True or false: The logarithm base 10 is commonly used in science and engineering.

<p>True (A)</p> Signup and view all the answers

True or false: The natural logarithm has the number e as its base.

<p>True (A)</p> Signup and view all the answers

True or false: The logarithm base 2 is frequently used in computer science.

<p>True (A)</p> Signup and view all the answers

True or false: Logarithms were introduced by John Napier in 1614 as a means of simplifying calculations.

<p>True (A)</p> Signup and view all the answers

Flashcards

Inverse of Exponentiation

The logarithm is the inverse function of exponentiation.

Log base 10 of 1000

The logarithm base 10 of 1000 is 3, because 10^3 = 1000.

Base of Natural Logarithm

The base of the natural logarithm is 'e' (Euler's number), approximately 2.71828.

Logarithm in Computer Science

The binary logarithm (log base 2) is frequently used in computer science.

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Inventor of Logarithms

John Napier introduced logarithms in 1614 as a mathematical tool to simplify calculations.

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Logarithm Definition

True: The logarithm of x to base b is the exponent to which b must be raised to produce x. (b^log_b(x) = x)

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Log Base 10 Use

True: The logarithm base 10 is commonly used in science and engineering for simplifying large numbers and ratios.

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Natural Log Base

True: The natural logarithm has the number e (Euler's number) as its base.

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Log Base 2 Use

True: The logarithm base 2 (binary logarithm) is frequently used in computer science due to the binary nature of digital systems.

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