Question 246762: e=? (LOG FUNC.)
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website! e is a constant that is equal to 2.718281828...
It is an irrational number that has a never ending decimal that goes on and on and on without a repeating pattern to the digits.
The ln function of your calculator gives you the natural log of a number.
The natural log of a number is the log of that number to the base of e which is the constant just mentioned above.
The inverse of the natural log of the number is the base e raised to an exponent.
The formula looks like this:
ln(x) = y if and only if e^y = x
As an example:
let x = 5
ln(x) = y if and only if e^y = x becomes:
ln(5) = y if and only if e^y = 5
use your calculator to find ln(5) and you get ln(5) = 1.609437912
substitute in the equation to get:
ln(5) = 1.609437912 if and only if e^1.609437912 = 5
use your calculator to find e^1.609437912 and you will see that the answer is 5.
|
|
|