logarithms functions


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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..
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 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..
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..
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..
Real Functions and their Graphs
(x) of x under f is called the value of 'f ' at x. Types of Function and their Graphs: Constant function, Identity function, Polynomial function, Modulus function, Square root function, Greatest integer function or Step func..
Choose the type of function represented by f(x) = 5e3x.
Choose the type of function represented by f ( x ) = 5 e 3 x . => Exponential decay function or Exponential growth function or Logarithmic function or Power function..
Which of the following function has the property f(xy) = f(x) + f(y)?
Which of the following function has the property f ( x y ) = f ( x ) + f ( y )? => The natural logarithm function or The squaring function or The cubing function or The identity function..
Factors Affecting the Intensity of Sound
A musical instrument like a guitar or veena gives louder sound when its string is plucked with a greater force. The intensity is directly proportional to the square of the amplitude of vibration of the source. The loudness which is a logarithmic function of intensity, also..
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