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log 100 = 2. Because. 102 = 100. This is an example of a base-ten logarithm. Log2 8 = 3. Because. 23 = 8. In general, you write log followed by the base number as a subscript. Log. Log a = r. LN. LN a = r.
Suggested clip How to calculate log of any number in just some seconds. How to YouTubeStart of suggested client of suggested clip How to calculate log of any number in just some seconds. How to
The logarithm, or log, is the inverse of the mathematical operation of exponentiation. This means that the log of a number is the number that a fixed base has to be raised to in order to yield the number. Conventionally, log implies that base 10 is being used, though the base can technically be anything.
Since ab=c can be rewritten as logic=b. And as a consequence, you can derive the statement that log bx=1logxb. Once you have log of one base (e.g. the natural log LN), you can easily calculate the log of any basis via logic=land. Or equivalently b=exp(NAC).
The natural logarithm has the number e (that is b 2.718) as its base. Its use is widespread in mathematics and physics, because of its simpler integral and derivative. The binary logarithm uses base 2 (that is b = 2) and is commonly used in computer science. Logarithms are examples of concave functions.
The equation log x = 100 is another way of writing 10x = 100. This relationship makes it possible to remove logarithms from an equation by raising both sides to the same exponent as the base of the logarithm. If the equation contains more than one logarithm, they must have the same base for this to work.
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