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 = ..
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 series is c..
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 series is c..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 series is called the logarithmic series. It can be proved mathematically that this logarithmic series has the sum equal to log(1 + x..Logarithmic function
Logarithmic function is f (x) = log x. Its graph i..
Logarithmic function is f (x) = log x. Its graph i..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, ..
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, ..To find the logarithm of a Complex number
Let z= x + iy be a complex number. Let Z = r i q . This formula is useful for finding the logarithm of negative numbers als..
Let z= x + iy be a complex number. Let Z = r i q . This formula is useful for finding the logarithm of negative numbers als..Introduction Exponential and Logarithmic Series
In this chapter, we shall study two series known as the Exponential series and Logarithmic series. In our discussion, we shall make use of mathematical tools like formula for sum of an infinite G.P., combinatorial coefficients, the inequality 2 n - 1 n! for n N etc.In this chapter, we sha..
In this chapter, we shall study two series known as the Exponential series and Logarithmic series. In our discussion, we shall make use of mathematical tools like formula for sum of an infinite G.P., combinatorial coefficients, the inequality 2 n - 1 n! for n N etc.In this chapter, we sha..Particular Logarithmic Series
Particular Logarithmic Series - For any number x such that |x|<1. i) For number x:|x|<1, we have |-x|=|x|<1. iii) It can be proved mathematically that the logarithmic series (1) is true even whe..
Particular Logarithmic Series - For any number x such that |x|<1. i) For number x:|x|<1, we have |-x|=|x|<1. iii) It can be proved mathematically that the logarithmic series (1) is true even whe..Graph of Logarithmic Function
Graph of Logarithmic Function - For x (0, ), the value of log x is uniquely defined.For x (0, ), the value of log x is uniquely defined. \ x g log x is a well-defined function from (0, ) to (- , ). The value of e to one place of decimal i..
Graph of Logarithmic Function - For x (0, ), the value of log x is uniquely defined.For x (0, ), the value of log x is uniquely defined. \ x g log x is a well-defined function from (0, ) to (- , ). The value of e to one place of decimal i..Derivative of the Logarithmic Function
Let f(x) = log e x (x > 0). Then ..
Let f(x) = log e x (x > 0). Then .. Result
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