Revise pecularity in LOG

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Aug 6th, 2022
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How to revise pecularity in LOG

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in this lesson weamp;#39;re going to talk about logarithms often referred to as logs weamp;#39;re going to talk about how to switch between the logarithmic form and the exponential form as well as the properties of logs whether youamp;#39;re expanding or condensing so letamp;#39;s get right into this lesson the first thing is you can see a log itamp;#39;s got the logarithm itamp;#39;s got the base it has the argument and then it has the answer here and what you want to do is you want to remember how to switch between the log form and exponent form the way you would do that is you would exponentiate both sides because exponential functions and logarithmic functions if you remember theyamp;#39;re inverses of one another they undo one another so by raising both sides using the same base here in this logarithm these are going to undo one another or cancel each other out and we then have x equals b to the n itamp;#39;ll be a little bit easier to solve from there so an example would

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What are All Properties of Logarithms? log 1 = 0. logₐ a = 1. log ab = log a + log b. log a/b = log a - log b. log am = m log a. logba = (log a)/(log b) alogₐ x = x.
Meaning of logarithmically in English in a way that relates to a logarithm (= a number that shows how many times a number has to be multiplied by itself to produce another number): The auto industry has grown logarithmically around the world. Pitch scale is logarithmically related to frequency. See.
A logarithm (or log) is the mathematical expression used to answer the question: How many times must one base number be multiplied by itself to get some other particular number? For instance, how many times must a base of 10 be multiplied by itself to get 1,000? The answer is 3 (1,000 = 10 10 10).
To convert from exponential to logarithmic form, we follow the same steps in reverse. We identify the base b, exponent x, and output y. Then we write x=logb(y) x = l o g b ( y ) .
A function f(x) is said to grow logarithmically if f(x) is (exactly or approximately) proportional to the logarithm of x. (Biological descriptions of organism growth, however, use this term for an exponential function.) For example, any natural number N can be represented in binary form in no more than log2 N + 1 bits.
Logarithmic growth is the inverse of exponential growth and is very slow. A graph of logarithmic growth. A familiar example of logarithmic growth is a number, N, in positional notation, which grows as logb (N), where b is the base of the number system used, e.g. 10 for decimal arithmetic.
If the base of a logarithmic function is greater than 1, then the graph increases. If the base of the logarithmic functions is greater than 0 but smaller than 1, then the graph decreases.
A log curve changes quickly at first and then changes slower and slower. An exponential curve changes slowly at first and then changes faster and faster. The curves are usually used to describe rising curves.

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