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, ..
What is the domain of the function, g(y) = log9 (13y)?
What is the domain of the function, g ( y ) = log 9 (13 y )? => [0, - ∞) or (13, ∞) or [- 13, ∞] or (0, ∞)..
Which of the following functions has no negative numbers in their doma..
Which of the following functions has no negative numbers in their domain? => f ( x ) = | x | or f ( x ) = x or f ( x ) = log x or f ( x ) = x 2..
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 log..
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 log..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 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 on both sides, we have logy = g(x) logf(x..
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 on both sides, we have logy = g(x) logf(x..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 less than - 11 or All real numbers less than 11 or All real numbers except - 11 or All real numbers or All real numbers greater than 11..
Exponential and Logarithmic Series
Introduction - 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 coefficient..
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.. Result
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