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Logarithms
If a > 0 such that a y = x then y is called the logarithm of x with respect to the = base ‘a’ and written as log a x = ..
Domain
The set of first elements in a relation is called Domain. In example (6), Domain is set A = {1, 2, ..
Which of the following functions excludes zero from its domain?
Which of the following functions excludes zero from its domain? => y = - x or y = log x or y = e x - 2 or y = cos x..
Logarithmic Series
Logarithmic Series - If x is a real number such that |x|<1, then the series is called the logarithmic series. It can be proved mathematically that this logarithmic series has the sum equal to log(1 + x). If x is a real number such that |x|<1, then the s..
Logarithmic function
Logarithmic function is f (x) = log x. Its graph i..
Logarithmic Differentiation
Logarithmic Differentiation - When we want to differentiate a function of the form f(x) g(x), we use logarithmic differentiation.When we want to differentiate a function of the form f(x) g(x), we use logarithmic differentiation. Let y = f(x) g(x) Taking log o..
Logarithmic Differentiation
When we want to differentiate a function of the form f(x) g(x), we use logarithmic differentiation. Let y = f(x) g(x) Taking log on both sides, we have logy = g(x) logf(x). Differentiating with respect to x, we get, ..
Find the domain of the logarithmic function, f(x) = log2 (x + 11)2.
Find the domain of the logarithmic function, f ( x ) = log 2 ( x + 11) 2 . => All real numbers except - 11 or All real numbers greater than 11 or All real numbers less than - 11 or All real numbers less than 11..
Introduction Exponential and Logarithmic Series
We know that log 2 8 is the number to which 2 must be raised to get 8. Therefore, log 2 8 = 3. In general, if a x = y, (a > 0), then we say that log a y = x. If e x = y, then we say that the natural logarithm of y is x and we write log y = x. In ..
Introduction Exponential and Logarithmic Series
We know that log 2 8 is the number to which 2 must be raised to get 8. Therefore, log 2 8 = 3. In general, if a x = y, (a > 0), then we say that log a y = x. If e x = y, then we say that the natural logarithm of y is x and we write log y = x. In ..
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