Full Answer
What does the log indicate?
log, n. a piece of wood with a line for measuring the speed of a ship: the record of a ship's progress.— v.t. to exhibit by the indication of the log: to enter in the logbook.— ns.
What does the name logs mean?
noun Log. A Hebrew measure of liquids, containing 2.37 gills. Etymology: Heb. lōg. noun Log. Senses. A bulky piece of wood which has not been shaped by hewing or sawing. Etymology: Prob. the same word as in sense 1; cf. LG. log lock, Dan. log, Sw. logg. [ Naut] An apparatus for measuring the rate of a ship's motion through the water. Hence:The ...
What does it mean to log?
Mathematicians use "log" (instead of "ln") to mean the natural logarithm. This can lead to confusion: So, be careful when you read "log" that you know what base they mean! Logarithms Can Have Decimals All of our examples have used whole number logarithms (like 2 or 3), but logarithms can have decimal values like 2.5, or 6.081, etc.
What's in a log?
LOG is the file extension for an automatically produced file that contains a record of events from certain software and operating systems . While they can contain a number of things, log files are often used to show all events associated with the system or application that created them.
What does the word log mean?
1 : a usually bulky piece or length of a cut or fallen tree especially : a length of a tree trunk ready for sawing and over six feet (1.8 meters) long.
What does keeping a log mean?
an official record of something: keep a log (of sth) You should keep a log of your business travel to ensure you have proof of your expenses.
What is considered a log?
A log is a piece of a thick branch or of the trunk of a tree that has been cut so that it can be used for fuel or for making things.
How do you use the word log?
How to use Log in a sentenceThe log stays with the car. ... His new log home was nice, but not extravagant. ... She glanced back over her shoulder at the log house on the hill. ... I sat her on a fallen log by side of the dirt track. ... A tiny yellow flower peeped from under the log and she leaned down to examine it.More items...
What log means in math?
logarithmA logarithm is the power to which a number must be raised in order to get some other number (see Section 3 of this Math Review for more about exponents). For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100: log 100 = 2. because. 102 = 100.
How do you find the log?
In mathematics, the logarithm table is used to find the value of the logarithmic function. The simplest way to find the value of the given logarithmic function is by using the log table....Related LinksExponential FunctionLogarithm FormulaLog Base 2Logarithms
How do you measure a board foot of lumber for a log?
To estimate the board feet from a log, measure the average diameter of the smaller part of the log in inches. Then, measure the length of the log in feet. Move the scale's marker over to where these two measurements meet. Where the two measurements intersect is the approximate board foot output.
What are the 3 types of logging?
The Three Types of Logging SystemsClearcutting. Many large-scale logging companies use the clearcutting method to harvest timber. ... Shelterwood. Another common logging technique is the shelterwood system. ... Selective Cutting.
Is a log a tree?
Logs are the piece of a felled tree, usually the size of a large branch (could even be a large branch) up to a whole section of a trunk, and generally just a rough piece of wood that you could use either as-is (such as in building a log cabin), for use in small-to-medium projects, or to be used as firewood.
How do you enter log into a calculator?
2:113:11TI Calculator Tutorial: Logarithms - YouTubeYouTubeStart of suggested clipEnd of suggested clipSo in order to reach it we need to hit the second button and then hit the divided. Button that givesMoreSo in order to reach it we need to hit the second button and then hit the divided. Button that gives us our lowercase e.
How do you draw a log?
How to Draw a Log Step by StepStep 1 – Draw the Lines for the Trunk of the Log. Log lines drawing. ... Step 2 – Draw the Top & Bottom Cuts. Log cuts drawing. ... Step 3 – Add a Branch Stump. Log branch drawing. ... Step 4 – Draw the Bark. Log bark drawing. ... Step 5 – Finish the Line Drawing. Log line drawing. ... Step 6 – Color the Log.
How do you get rid of a log?
A logarithm is the inverse of an exponent. The equation log x = 100 is another way of writing 10_x_ = 100. This relationship makes it possible to remove logarithms from an equation by raising both sides to the same exponent as the base of the logarithm.
What does the log rank test suggest?
The log-rank test again suggested that the rate of repartnering varied by mental-health state.
Who knows that log rolling and agenda manipulation go on?
Historians, politicians and political scientists have always known that log-rolling and agenda manipulation go on, so what is the added value?
How many cedar log tubs are there in the Bathhouse?
The main bathhouse has five cedar log tubs each in a private room.
What is the logarithm of a given number?
That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x. In the simplest case, the logarithm counts the number of occurrences of the same factor in repeated multiplication; e.g. since 1000 = 10 × 10 × 10 = 103, the "logarithm base 10" of 1000 is 3, or log10 (1000) = 3. The logarithm of x to base b is denoted as logb (x), or without parentheses, logb x, or even without the explicit base, log x, when no confusion is possible, or when the base does not matter such as in big O notation .
How to calculate logarithms?
Logarithms are easy to compute in some cases, such as log10 (1000) = 3. In general, logarithms can be calculated using power series or the arithmetic–geometric mean, or be retrieved from a precalculated logarithm table that provides a fixed precision. Newton's method, an iterative method to solve equations approximately, can also be used to calculate the logarithm, because its inverse function, the exponential function, can be computed efficiently. Using look-up tables, CORDIC -like methods can be used to compute logarithms by using only the operations of addition and bit shifts. Moreover, the binary logarithm algorithm calculates lb (x) recursively, based on repeated squarings of x, taking advantage of the relation
How to get logb graph?
The graph of the logarithm function logb (x) (blue) is obtained by reflecting the graph of the function bx (red) at the diagonal line ( x = y ).
How to find logarithm of a product?
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. The logarithm of the p -th power of a number is p times the logarithm of the number itself; the logarithm of a p -th root is the logarithm of the number divided by p. The following table lists these identities with examples. Each of the identities can be derived after substitution of the logarithm definitions#N#x = b log b x {displaystyle x=b^ {log _ {b}x}}#N#or#N#y = b log b y {displaystyle y=b^ {log _ {b}y}}#N#in the left hand sides.
What is the logarithm of a decibel?
For example, the decibel is a unit of measurement associated with logarithmic-scale quantities. It is based on the common logarithm of ratios —10 times the common logarithm of a power ratio or 20 times the common logarithm of a voltage ratio. It is used to quantify the loss of voltage levels in transmitting electrical signals, to describe power levels of sounds in acoustics, and the absorbance of light in the fields of spectrometry and optics. The signal-to-noise ratio describing the amount of unwanted noise in relation to a (meaningful) signal is also measured in decibels. In a similar vein, the peak signal-to-noise ratio is commonly used to assess the quality of sound and image compression methods using the logarithm.
What is the base of logarithm 10?
The logarithm base 10 (that is b = 10) is called the decimal or common logarithm and is commonly used in science and engineering. The natural logarithm has the number e (that is b ≈ 2.718) as its base; its use is widespread in mathematics and physics, because of its simpler integral and derivative.
What is the natural logarithm of t?
The natural logarithm of t is the shaded area underneath the graph of the function f(x) = 1/x (reciprocal of x ).
What does "log" mean in a game?
Log or logging is also shorthand to describe someone signing off. In a game, a player may log because they've quit the game or lost connection. Bootlog, Event viewer, Game terms, HijackThis, Journal, Log File, Login, Proglog, Software terms.
Why is a log important?
A log can be useful for keeping track of computer use, emergency recovery, and application improvement. Each software program that is capable of creating a log has different methods of starting or stopping the log creation.
What does log mean in math?
Mathematicians use "log" (instead of "ln") to mean the natural logarithm. This can lead to confusion:
What does logarithm tell us?
The logarithm tells us what the exponent is!
What does negative logarithm mean?
A negative logarithm means how many times to divide by the number.
What decimal is logarithm?
All of our examples have used whole number logarithms (like 2 or 3), but logarithms can have decimal values like 2.5, or 6.081, etc.
Who invented the word "logarithm"?
"Logarithm" is a word made up by Scottish mathematician John Napier (1550-1617), from the Greek word logos meaning "proportion, ratio or word" and arithmos meaning "number", ... which together makes "ratio-number" !
Is a logarithm written without a base?
Sometimes a logarithm is written without a base, like this:
What is logarithm used for?
These find its applications in surveying and celestial navigation purposes. They are also used in calculations such as measuring the loudness (decibels), the intensity of the earthquake regarding Richter scale, in radioactive decay, to find the acidity (pH= -log10 [H+]), etc.
What is the common logarithm?
Common Logarithm. The common logarithm is also called the base 10 logarith ms. It is represented as log10 or simply log. For example, the common logarithm of 1000 is written as a log (1000). The common logarithm defines how many times we have to multiply the number 10, to get the required output. For example, log (100) = 2.
What is logarithm exponentiation?
In simple words, Logarithms are the inverse process of the exponentiation. In this article, we are going to have a look at the definition, properties, and examples of logarithm in detail.
What are the rules for logarithms?
There are certain rules based on which logarithmic operations can be performed. The names of these rules are: 1 Product rule 2 Division rule 3 Power rule/Exponential Rule 4 Change of base rule 5 Base switch rule 6 Derivative of log 7 Integral of log
What is the base 3 logarithm of 27?
Therefore, the base 3 logarithm of 27 is 3.
What is the division of logarithmic values?
The division of two logarithmic values is equal to the difference of each logarithm.
What is the natural logarithm?
Natural Logarithm. The natural logarithm is called the base e logarithm. The natural logarithm is represented as ln or loge. Here, “e” represents the Euler’s constant which is approximately equal to 2.71828. For example, the natural logarithm of 78 is written as ln 78.
What is logarithm?
What is Log? The logarithm, or log, is the inverse of the mathematical operation of exponentiation. This means that the log of a number is the number that a fixed base has to be raised to in order to yield the number. Conventionally, log implies that base 10 is being used, though the base can technically be anything.
When is a logarithm rewritten?
When the argument of a logarithm is a fraction, the logarithm can be re-written as the subtraction of the logarithm of the numerator minus the logarithm of the denominator. If there is an exponent in the argument of a logarithm, the exponent can be pulled out of the logarithm and multiplied.
When the argument of a logarithm is the product of two numerals, can the logarith?
When the argument of a logarithm is the product of two numerals, the logarithm can be re-written as the addition of the logarithm of each of the numerals.
Can an exponent be pulled out of a logarithm?
If there is an exponent in the argument of a logarithm, the exponent can be pulled out of the logarithm and multiplied. It is also possible to change the base of the logarithm using the following rule. To switch the base and argument, use the following rule. Other common logarithms to take note of include:
Overview
Particular bases
Among all choices for the base, three are particularly common. These are b = 10, b = e (the irrational mathematical constant ≈ 2.71828), and b = 2 (the binary logarithm). In mathematical analysis, the logarithm base e is widespread because of analytical properties explained below. On the other hand, base-10 logarithms are easy to use for manual calculations in the decimal number syste…
Motivation
Addition, multiplication, and exponentiation are three of the most fundamental arithmetic operations. The inverse of addition is subtraction, and the inverse of multiplication is division. Similarly, a logarithm is the inverse operation of exponentiation. Exponentiation is when a number b, the base, is raised to a certain power y, the exponent, to give a value x; this is denoted
Definition
Given a positive real number b such that b ≠ 1, the logarithm of a positive real number x with respect to base b is the exponent by which b must be raised to yield x. In other words, the logarithm of x to base b is the unique real number y such that .
The logarithm is denoted "logb x" (pronounced as "the logarithm of x to base b", "the base-b logarithm of x", or most commonly "the log, base b, of x").
Logarithmic identities
Several important formulas, sometimes called logarithmic identities or logarithmic laws, relate logarithms to one another.
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. The logarithm of the p-th power of a number is p times the logarithm of the number itself; the logarithm of a p-th root is th…
History
The history of logarithms in seventeenth-century Europe is the discovery of a new function that extended the realm of analysis beyond the scope of algebraic methods. The method of logarithms was publicly propounded by John Napier in 1614, in a book titled Mirifici Logarithmorum Canonis Descriptio (Description of the Wonderful Rule of Logarithms). Prior to Napier's invention, there had been other techniques of similar scopes, such as the prosthaphaeresis or the use of tables of pro…
Logarithm tables, slide rules, and historical applications
By simplifying difficult calculations before calculators and computers became available, logarithms contributed to the advance of science, especially astronomy. They were critical to advances in surveying, celestial navigation, and other domains. Pierre-Simon Laplace called logarithms
"...[a]n admirable artifice which, by reducing to a few days the labour of many …
Analytic properties
A deeper study of logarithms requires the concept of a function. A function is a rule that, given one number, produces another number. An example is the function producing the x-th power of b from any real number x, where the base b is a fixed number. This function is written as f(x) = b . When b is positive and unequal to 1, we show below that f is invertible when considered as a function …