Explore Logarithm through 10+ example sentences from English, with an explanation of the meaning and related words like log or exponent. Ideal for language learners, writers and word enthusiasts.
Logarithm in a sentence
Related words
Logarithm meaning
For a number x, the exponent by which a given base number must be raised in order to obtain the power x. Written log _bx. For example, log ₁₀1000=3 because 10³=1000 and log ₂16=4 because 2⁴=16.
Using Logarithm
- The main meaning on this page is: For a number x, the exponent by which a given base number must be raised in order to obtain the power x. Written log _bx. For example, log ₁₀1000=3 because 10³=1000 and log ₂16=4 because 2⁴=16.
- Useful related words include: log, exponent, power, index.
- In the example corpus, logarithm often appears in combinations such as: the logarithm, logarithm of, natural logarithm.
Context around Logarithm
- Average sentence length in these examples: 25.9 words
- Position in the sentence: 9 start, 9 middle, 2 end
- Sentence types: 20 statements, 0 questions, 0 exclamations
Corpus analysis for Logarithm
- In this selection, "logarithm" usually appears near the start of the sentence. The average example has 25.9 words, and this corpus slice is mostly made up of statements.
- Around the word, natural, shifted, hyperbolic, function, consider and integers stand out and add context to how "logarithm" is used.
- Recognizable usage signals include a complex logarithm that exhibits and a logarithm of the. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "logarithm" sits close to words such as adopters, airfields and allowable, which helps place it inside the broader word index.
Example types with logarithm
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
Holdings are weighted by the inverse natural logarithm of their market capitalization. (12 words)
A logarithm of the relative iron abundance is compared to the Sun. (12 words)
Natural logarithm Consider the natural logarithm function mapping the real numbers to themselves. (13 words)
A multiplicative magic square can be derived from an additive magic square by raising 2 (or any other integer) to the power of each element, because the logarithm of the product of 2 numbers is the sum of logarithm of each. (41 words)
This area equals the natural logarithm of 6. The graph of the natural logarithm function shown earlier on the right side of the page enables one to glean some of the basic characteristics that logarithms to any base have in common. (41 words)
When this set is plotted on a logarithmic scale it has one-dimensional translational symmetry : adding or subtracting the logarithm of two to the logarithm of one of these numbers produces the logarithm of another of these numbers. (38 words)
Example sentences (20)
The function that assigns to y its logarithm is called logarithm function or logarithmic function (or just logarithm).
When this set is plotted on a logarithmic scale it has one-dimensional translational symmetry : adding or subtracting the logarithm of two to the logarithm of one of these numbers produces the logarithm of another of these numbers.
A maximum of the likelihood function occurs at the same parameter-value as a maximum of the logarithm of the likelihood (the "log likelihood"), because the logarithm is an increasing function.
A multiplicative magic square can be derived from an additive magic square by raising 2 (or any other integer) to the power of each element, because the logarithm of the product of 2 numbers is the sum of logarithm of each.
Chief among them are: the logarithm of the number one is zero; and the logarithm as x approaches zero from the right is negative infinity.
Natural logarithm Consider the natural logarithm function mapping the real numbers to themselves.
Piecewise linear approximation to exponential and logarithm Integers reinterpreted as floating point numbers (in blue, piecewise linear), compared to a scaled and shifted logarithm (in gray, smooth).
Product, quotient, power and root The logarithm of a product is the sum of the logarithms of the numbers being multiplied; the logarithm of the ratio of two numbers is the difference of the logarithms.
Their solution generated the requisite "hyperbolic logarithm" function having properties now associated with the natural logarithm.
The logarithm must be taken to base since the two terms following the logarithm are themselves base-e logarithms of expressions that are either factors of the density function or otherwise arise naturally.
The logarithm of a non-positive real is not a real number, so the natural logarithm function doesn't associate any real number in the codomain with any non-positive real number in the domain.
The quantity ln(a) is the natural logarithm of a, i.e. its logarithm to base "e".
This area equals the natural logarithm of 6. The graph of the natural logarithm function shown earlier on the right side of the page enables one to glean some of the basic characteristics that logarithms to any base have in common.
This exponential function can be inverted to form a complex logarithm that exhibits most of the properties of the ordinary logarithm.
This method consists of plotting the logarithm of an estimator of the probability that a particular number of the distribution occurs versus the logarithm of that particular number.
Holdings are weighted by the inverse natural logarithm of their market capitalization.
A closely related method can be used to compute the logarithm of integers.
After Weber, G.T. Fechner expanded upon the knowledge he gleaned from Herbart and Weber, to devise the law that the strength of a sensation grows as the logarithm of the stimulus intensity.
A logarithm of the relative iron abundance is compared to the Sun.
A nearly straight line is obtained when the logarithm of the vapor pressure is plotted against 1/(T+230) citation where T is the temperature in degrees Celsius.
Common combinations with logarithm
These word pairs occur most frequently in English texts:
- the logarithm 57×
- logarithm of 55×
- natural logarithm 25×
- logarithm function 9×
- logarithm is 8×
- discrete logarithm 5×
- of logarithm 4×
- its logarithm 3×
- logarithm to 3×
- logarithm as 2×