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27 Αυγ 2020 · Definition. 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. We will do base-10, so b=10.
- Logarithms
The simple answer is: Logarithm of a number gives a...
- Logarithms
Logarithms are a convenient way to express large numbers. (The base-10 logarithm of a number is roughly the number of digits in that number, for example.) Slide rules work because adding and subtracting logarithms is equivalent to multiplication and division.
20 Αυγ 2020 · The simple answer is: Logarithm of a number gives a measurement of how “big” that number is in comparison to another number. The human mind is capable of processing and comparing numbers that are on the same scale or similar scale. e.g let's say you are given the weights of different people (adults) of a group.
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.
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 ...
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 count the number of multiplications added on, so starting with 1 (a single digit) we add 5 more digits ($10^5$) and 100,000 get a 6-figure result. Talking about "6" instead of "One hundred thousand" is the essence of logarithms.
