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Solve the equation log x5 = 6.
Solve the equation log x 5 = 6. => 1 0 5 6 or 1 0 6 5 or 1 0 - 6 5 or 1 0 - 5 6..
Solve the equation log (x - 9) + log (x + 12) = 2 log 3.
Solve the equation log ( x - 9) + log ( x + 12) = 2 log 3. => 3 ± 4 7 7 2 or - 3 ± 4 7 7 2 or - 3 ± 4 6 8 2 or Does not exist..
Solve the equation log (3x - 2) + log (x - 1) = 2 log x.
Solve the equation log (3 x - 2) + log ( x - 1) = 2 log x . => x = 2, - 1 3 or x = 3 2 or x = 2, 1 2 or x = 2..
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) Ta..
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) Ta..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 re..
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 re..Logarithmic function
Logarithmic function is f (x) = log x. Its graph i..
Logarithmic function is f (x) = log x. Its graph i..Graph of Logarithmic Series
We see that as x increases from 0 to , the value of log x also increases indefinitely. The function log x is one-on..
We see that as x increases from 0 to , the value of log x also increases indefinitely. The function log x is one-on..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..
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..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 when x=1..
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 when x=1..Exponential and Logarithmic Series
The sum of the infinite series 1 + 1/1! + 1/2! + 1/3! + 1/4! + ... is called the exponential number. If x is any complex number then the series is called the exponential series. It can be proved mathematically that this exponential series has a sum and we denote it by e ..
The sum of the infinite series 1 + 1/1! + 1/2! + 1/3! + 1/4! + ... is called the exponential number. If x is any complex number then the series is called the exponential series. It can be proved mathematically that this exponential series has a sum and we denote it by e .. Result
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