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This is why we teach students about logarithms today. For example, in order to integrate $\frac 1 x$ in calculus, you "need the logarithm". Of course, you could just numerically integrate it, but it's useful to know that the result of that integration is actully a function with certain algebraic properties and which turns up as the answer to ...
Logarithms are defined as the solutions to exponential equations and so are practically useful in any situation where one needs to solve such equations (such as finding how long it will take for a population to double or for a bank balance to reach a given value with compound interest).
Introduction to Logarithms. In its simplest form, a logarithm answers the question: How many of one number multiply together to make another number? Example: How many 2 s multiply together to make 8? Answer: 2 × 2 × 2 = 8, so we had to multiply 3 of the 2 s to get 8. So the logarithm is 3. How to Write it. We write it like this: log2(8) = 3.
In this article, we are going to learn the definition of logarithms, two types of logarithms such as common logarithm and natural logarithm, and different properties of logarithms with many solved examples.
This lesson presents an introduction to logarithms. What they are, their relationship to exponents and some real-world applications of them. Emphasis is placed on why we need logarithms and how they are used in science.
A logarithm can have any positive value (other than 1) as its base, but logs with two particular bases are generally regarded as being more useful than the others: the "common" log with a base of 10, and the "natural" log with a base of the number e.
2. Why do we study logarithms ? In order to motivate our study of logarithms, consider the following: we know that 16 = 24. We also know that 8 = 23 Suppose that we wanted to multiply 16 by 8. One way is to carry out the multiplication directly using long-multiplication and obtain 128.
