Logarithms Assignment Help by Algebra Expert
Logarithms are inverse of the exponentials just like subtraction is inverse of addition and division is inverse of multiplication. Logarithms unlock the exponentials. A Logarithm is the exponent of a number in which a fixed number called the base is raised for producing the number. It counts the multiplication that is repeated, for instance 10000, =10x10x10x10=104. The logarithm of 10000 to base 10 is 4. The logarithm where b=10 or base 10 is known as the common algorithm and it has wide application in engineering. The natural algorithm has e (2.718) as the base, it is used widely in physics and mathematics because the derivate is simple. The Binary logarithm uses b=2 and is used in computer science commonly. Logarithms were introduced in the 17th century by John Napier to simplify the calculations. Thereafter, they were quickly accepted by the scientists, engineers, navigators for performing the computations in an easy manner using the logarithm tables and the slide rules. Laborious multi-digit multiplications can be solved easily taking the help of logarithms. Logarithms are a part of Algebra. Many university students pursuing Algebra often need Logarithms assignment help from BookMyEssay because they find this discipline very tough and complicated. It is broad subject and students take guidance from us to score good grades in their assignments.
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Logarithm
A Logarithm is the power or exponent where the base is heightened to produce a number. For instance, 8=23 ; or log2 8=3. Similarly, 100=102 and log10 100=2. Logarithms with base 10 are known as the common algorithms and are written as log n. Logarithms were invented to increase the speed of calculations and it greatly reduces the time, which is needed to multiply the numbers having multiple digits. The natural logarithm is a useful function and it has its applications in mathematics, biological, and physical science.
As the logarithms have the useful properties of simplifying the tedious and long calculations, they are instantly adopted by the scientists. The product of any two numbers can be found out quickly by looking at the logarithm tables and then by further adding them. Thereafter, again the calculated number is found out by consulting the logarithm table. For example, log mn can be expressed as logm+logn. 1000×100 is calculated by looking at the logarithm tables of 1000(3) and 100(2). The division problems can be converted to the subtraction problems using the logarithms. Like log m/n= log m-log n. Even the calculation of roots and powers are also simplified using the logarithms. Logarithms of the numbers between 0-10 are a part of the logarithm tables. For obtaining logarithm of an outside number, it is written as the products of the digits and their exponential power.
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