Logarithms | Business Mathematics | Bangla Tutorial Class 03

This video is for logarithms business mathematics bangla tutorial class 03. In mathematics, the logarithm is the inverse function to exponentiation. 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. John Napier introduced the concept of Logarithms in the 17th century. Later it was used by many scientists, navigators, engineers, etc for performing various calculations which made it simple. In simple words, Logarithms are the inverse process of the exponentiation. Logarithm Types In most cases, we always deal with two different types of logarithms, namely • Common Logarithm • Natural Logarithm Common Logarithm The common logarithm is also called the base 10 logarithms. 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 If we multiply the number 10 twice, we get the result 100. 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. The natural logarithm defines how many we have to multiply “e” to get the required output. For example, ln (78) = 4.357. Thus, the base e logarithm of 78 is equal to 4.357. #log #logarithms #businessmath FB Group link for Subscribers: https://www.facebook.com/groups/411149726155550/ Follow me on facebook: https://www.facebook.com/nilav.rasel/