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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.
Area with Parametric Equations In this section we will find out a formula for ascertaining the area under a parametric curve specified by the parametric equations, x = f (t)
2(x+3x)+(x+3x)
The complete set of all solutions is called as the solution set for the equation or inequality. There is also some formal notation for solution sets. We have to still acknowledge
a pair of straight lines are drawn through the origin forms with the line 2x+3y=6 an isoceles triangle right angled at origin find the equation of pair of straight line?
i need a step by step guide to answering simultaneous equation for gcses
Indeterminate form : The 0/0 we initially got is called an indeterminate form. It means that we don't actually know what it will be till we do some more work. In the denominator
how it solved
Q. Illustrate Pythagorean Theorem? Ans. You have definitely seen the Pythagorean Theorem before, so a 2 + b 2 = c 2 should look familiar to you. The Pythagorean Theor
prove:
Hyperboloid of Two Sheets The equation which is given here is the equation of a hyperboloid of two sheets. - x 2 /a 2 - y 2 / b 2 + z 2 /c 2 = 1 Here is a diagram of
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