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If x = by where both b > 0, x > 0, then we define y = logb x, which is read as
"y is the log to the base b of x". This means that, logb x or y is the number to which b has to be raised exponentially in order to equal x. So a log is simply the inverse function of an exponential function. Therefore, the domain of any logarithmic function is the set of positive numbers since the range of any exponential function is the set of positive numbers.
Example 20
Let us find the log of 100 to the base 10
As 100 = 102
log10 100 = 2
Similarly,
The exponential function and logarithmic function are inverse functions of each other, since
y = logb x if and only if x = by.
If y = log10 x = f(x), then x = 10y and vice-versa.
If x = ey then y = ln x and vice versa.
The shape of the logarithmic function y = ln x is graphically illustrated below.
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Alternate Notation : Next we have to discuss some alternate notation for the derivative. The typical derivative notation is the "prime" notation. Though, there is another notation
a + b
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rewrite the problem so that the divisor is a whole number...8.5/2.3
You have been research for your statistics class on how nervous the American adults are in general, you have decided to use HINTS 2007 data set that has a scale (going from 0 to 24
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