"Logarithm" Example Sentences
1. The logarithm function returns the power to which a given base must be raised to produce a specified number.
2. The natural logarithm is the logarithm with a base of e.
3. The decimal value of the logarithm of 10 base 2 is 3.321928.
4. The logarithm of a negative number is undefined.
5. To solve an exponential equation, we often need to use logarithm rules.
6. The logarithm of a product is equal to the sum of the logarithms of the factors.
7. The logarithm of a quotient is equal to the difference of the logarithms of the numerator and denominator.
8. The common logarithm uses a base of 10.
9. A logarithm table can be used to find the logarithm of numbers quickly and accurately.
10. The logarithm is an important mathematical concept used in various fields of study, such as engineering and physics.
11. The logarithm of 1 is always zero, regardless of the base.
12. A logarithmic scale is often used in scientific graphs to display a wide range of values.
13. The natural logarithm of the number e is equal to 1.
14. The change of base formula allows us to express a logarithm in terms of a different base.
15. The inverse of the logarithm function is the exponential function.
16. The concept of logarithm was first introduced by John Napier in the early 17th century.
17. A logarithmic spiral is a curve that gets wider as it rotates around a central point.
18. Properties of logarithms include the power rule, product rule and quotient rule.
19. To convert a number from exponential form to logarithmic form, we write the base as a subscript and the exponent as the logarithm.
20. The logarithm of a negative number does exist if it is a complex number.
21. The logarithm of a number greater than 1 is positive.
22. The logarithm of a fraction is a negative number.
23. The logarithm of a number less than 1 but greater than 0 is negative.
24. The logarithm of 0 is undefined.
25. The logarithm of infinity is infinity.
26. In computer programming, logarithmic functions are often used in algorithms and data structures.
27. One of the applications of logarithm is in calculating interest rates and compound interest.
28. The logarithm of a matrix is defined using eigenvalues and eigenvectors.
29. The inverse logarithmic function is also known as the antilogarithm or exponentiation.
30. A logarithmic function can be used to model phenomena that exhibit exponential growth or decay over time.
Common Phases
1. "Can you solve for the
logarithm of x?"
2. "The
logarithm of 100 is 2."
3. "When you graph the data on a
logarithmic scale, it's easier to see the trend."
4. "The value of the
logarithm function increases as the input value increases."
5. "The
logarithm base 10 is often used in science and engineering applications."
6. "To solve for x in a
logarithmic equation, you need to use algebraic techniques."
7. "
Logarithm rules allow you to simplify complex expressions easily."
8. "The natural
logarithm, denoted ln, is the
logarithm with base e."
9. "
Logarithms were initially developed to simplify complex calculations."
10. "
Logarithmic functions are used extensively in mathematical modeling and analysis."