Is e^-ln(x) equal to 1/x? | Homework Statement

[fiziksfun]

Homework Statement

is e^-ln(x) the same as 1/x ??

Homework Equations

The Attempt at a Solution

 

[cristo]

What do you think?

 

[symbolipoint]

What do you know about numbers and exponents to those numbers?

Let t be any real number. What can you do with e$$^{-t}$$ ?

 

[jgens]

Well perhaps a way of verifying your answer would be to note -ln(x) = ln(1/x); therefore, e^-ln(x) = e^ln(1/x). Another way is to note e^-ln(x) = 1/e^ln(x).

 

[cristo]

Recall:

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