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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 ...
27 Αυγ 2020 · A logarithm is the answer to the question what power x do I need to apply to the base b in order to obtain the number y: log_b(y) = x is another way of specifying the relationship: b^x = y Let’s plug in some numbers to make this more clear.
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.
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.
Logarithms are a Math function, which tackle this guesswork avoiding time consumption to solve such problems easily. Logarithms simplify the Math and help to write the relationships in an understandable Math function.
Logarithms are inverse functions (backwards), and logs represent exponents (concept), and taking logs is the undoing of exponentials (backwards and a concept). And this is a lot to take in all at once.
Logarithms are primarily used for two thing: i) Representation of large numbers. For example pH (the number of hydrogen atoms present) is too large (up to 10 digits). To allow easier representation of these numbers, logarithms are used. For example let's say the pH of the substance is 10000000000.
