**Logarithmic functions** derive the values of sums of arithmetic that are expressed as decimals of their prime form. Arithmetics is a branch of mathematics dealing with the arrangement of numbers in space. The most common example here is of the natural logarithm of an arithmetic number e.g. e+x+y=k(e, I) where x is a number (or the set of real numbers used for carrying out any arithmetic operation) and k is the natural logarithm of e.g.

Logarithmic values are those of an exponential function, and any exponential curve can be graphically expressed as logarithmic functions. **Logarithmic functions** enable us to calculate sums over definite exponents, and they are very useful in enabling to perform sums using a polynomial expansion. In this sense, logarithmic functions are also used in computing in general, as well as in computer science. While many exponential functions can also be graphed, logarithmic functions have the special feature that they can be plotted on a logarithmic plane.

Some examples of l**ogarithmic functions** that may be graphed are the arithmetic logarithm (also called the Greatumber function), the binomial logarithm, the exponential logarithm, the cotangent logarithm, and the power of logarithmic functions (or PDF). Many logarithmic functions also take the form of least significant digits (LSD). These are particularly useful in applications involving large finite numbers, such as in the area of finance. For this reason, some financial instruments (such as futures and options) base their prices on PDF as an index of value.

One of the most common forms of** logarithmic functions** is the cotangent logarithmic (or CDL) and the logarithmic, quadratic functions (or LGV). The CDL, in particular, is based upon the logarithm of the natural logarithm of the exponential, natural logarithm function (globulus) and is similar to log function (also called the natural logarithm). The CDL is also a prime example of an exponential function.

The logarithmic, quadratic functions are very similar to the exponential function, in that they also use the logarithm of the natural logarithm. However, the CDL uses only the first, second, and third elements of the natural logarithm, whereas the exponential uses all three. The LGV and logbx are quadratic versions of CDL, where the range and slopes of the curves satisfy a particular geometric function.

There are a number of logarithmic functions that can be plotted on a graphing chart. The slope of the logarithmic curve and the degree of the curve will determine how many digits the slope represents. The logarithmic functions graphed on a graphing chart will display a negative slope (negative slope means that the value of the function will decrease as the logarithm increases). Most of the time, the logarithmic functions that can be plotted on the charts have values that equal one, except for the exponential and the cotangent.

There are some other methods used in the calculation of logarithmic functions, including some formulas that actually depend upon logarithmic functions themselves. These include the binomial coefficient, the binomial mean, and the cotangent and logarithmic functions. The logarithmic functions, however, are far more useful than any of these formulas. Any student learning how to calculate logarithmic functions should begin by learning about the basic definitions and then move onto learning how to plot the different logarithmic functions.

## Logarithmic Functions

Logarithmic functions have been used for many years in mathematics and they have also been used in engineering to help the design and development of complex machinery. One of the most common types of logarithmic functions is the exponential function. An exponential function is a number that goes up or down, depending on how many values are set as values. In logarithmic functions this is done by determining what value is the most positive or negative. For example, if you were interested in finding out what the value of x was at point t, then you would log some numbers, determine the highest value that you could get them to (after dividing them by their times), and then log those numbers again to determine the lowest value of x that you can get them to.

9pğSome examples of logarithmic functions used in engineering and other fields are graphing calculators, table calculators, airplane altitude and air pressure readings, microwave transmitter output and reception, and the like. In logarithmic functions, the term log b (log(x) minus log a(t) where t is a time variable) represents the vertical rate of change of a constant value over time. Using the graphing calculator, you can determine the vertical displacement of an object as a function of time, which is then converted to a mean value and then tested against a known value.

There are two kinds of logarithmic functions, namely the arithmetical form and the exponential. In the arithmetical form, you take a starting value (say, x = 10), and then multiply it by an arithmetic operation such as division (divide by whatever is usually the most significant number after division). In logarithmic functions, the starting value is already known and the multiplication is done by taking the logarithmically altered value of the first number (the base). You can find the values of all these forms in tables of logarithmograms.