"Logarithms" Pronounce,Meaning And Examples

"Logarithms" Natural Recordings by Native Speakers

Logarithms
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"Logarithms" Meaning

Logarithms are the inverse operation of exponentiation. They are used to find the power to which a base number must be raised to produce a given value. In other words, logarithms answer the question: "What power must the base number be raised to in order to get the given value?"

For example, the logarithm of 100 to the base 10 is 2, because 10 to the power of 2 (10^2) is equal to 100.

Logarithms are denoted by the abbreviation "log" and the base, for example, "log10" for the common logarithm to the base 10, or "ln" for the natural logarithm.

"Logarithms" Examples

Usage Examples for "Logarithms"


1. Mathematical Formula


To calculate the logarithm of a number, use the formula loga(x) y, where y is the exponent to which the base a must be raised to produce x.

2. Scientific Research


The physicist used logarithms to calculate the frequency response of the sound waves in her experiment, which revealed interesting patterns in the data.

3. Real-World Application


The water level in the lake follows a logarithmic pattern, which is why the increase in water level is more rapid at first and then slows down over time.

4. Educational Resource


The online math textbook provided step-by-step examples and exercises for calculating exponential and logarithmic functions, helping students master these tricky concepts.

5. Technical Writing


The computer programmer used logarithms to optimize the algorithm for searching large databases, resulting in a significant decrease in query times.

"Logarithms" Similar Words

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Loganberry is a sweet fruit-flavored soda that is a blend of blackberry and raspberry flavors. It is also known as a type of blackberry that is hybridized with a raspberry. The word "loganberry" was invented by Claude H. Nelson, a folk botanist, in the late 19th century. He crossed a blackberry with a raspberry to create a new variety of fruit and named itloganberry.

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Logarithmically means in a manner that is based on or related to logarithms, which are mathematical functions that give the power to which a base number must be raised to produce a given number. Specifically, logarithmically refers to a relationship between two or more quantities that changes proportionally with the change in one or more of the quantities, often with a base or exponent.

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Loge is a noun. It refers to a compartment or recess in a fireplace, used for burning firewood or other fuel. It can also refer to a cabinet or locker, especially one used in a theater to store props and costumes. Alternatively, Loge can refer to a character in Richard Wagner's opera "Siegfried", a mischievous and cunning dwarf who helps the hero in the story.

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A logger is a person or machine that cuts, processes, and transports logs or timber from forests or woodlands to a processing plant or market.

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