logarithmic functions test


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Logarithmic function
Logarithmic function is f (x) = log x. Its graph 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..
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) Ta..
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, ..
Identify the basic logarithmic function from the graphs.
Identify the basic logarithmic function from the graphs. => Graph 5 or Graph 3 or Graph 1 or Graph 2 or Graph 4..
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 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..
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 ..
To find the logarithm of a Complex number
To find the logarithm of a Complex number - Let z= x + iy be a complex number. Taking log on both side..
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