Is e^(2lnx) Equal to x^2?

Thread starter lemurs
Start date Jan 23, 2008
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In summary, "e" is a constant value also known as Euler's number, with a value of approximately 2.71828. It is the base of the natural logarithm function and is useful in various mathematical and scientific calculations, such as exponential growth and decay, probability and statistics, and calculus. "e" is calculated using an infinite series formula.

Jan 23, 2008

lemurs

Ok really dumb one here for you but for the life of me i can't remember.

first
e^(2lnx) is that equal to x^2

like i said brain fart
thanks for the help guys

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Jan 23, 2008

Midy1420

yup, e^(2lnx) = e^(ln (x^2)) = x^2

Jan 23, 2008

rocomath

[tex]e^{2\ln x}[/tex]

[tex]e^{\ln{x^2}}[/tex]

[tex]x^2[/tex]

1. What is the value of "e"?

The value of "e", also known as Euler's number, is approximately 2.71828.

2. How is "e" related to natural logarithms (ln)?

"e" is the base of the natural logarithm function (ln). This means that "e" raised to a certain power will give the value of that power's natural logarithm.

3. What is the difference between "e" and "ln"?

"e" is a constant value, while "ln" is a mathematical function. "e" represents a specific number, while "ln" represents the inverse of that number's exponential function.

4. Why is "e" useful in mathematics and science?

"e" is useful in many mathematical and scientific calculations, particularly those involving exponential growth and decay. It is also used in probability and statistics, as well as in calculus and differential equations.

5. How is "e" calculated?

"e" is typically calculated using the infinite series: e = 1 + 1/1! + 1/2! + 1/3! + ... + 1/n!, where n is the number of terms used in the calculation.