exponent cancelling out

[amartino44]

Hello. I was looking at this formula. 2= 1e^.05, then it became ln(2) = ln(e)^.05. THey said that ln and e= 1 and that the exponent drops so it becomes 1n(2) = .05

Why does the exponent drop? Thanks.

 

[stapel]

Hello. I was looking at this formula. 2= 1e^.05, then it became ln(2) = ln(e)^.05. THey said that ln and e= 1 and that the exponent drops so it becomes 1n(2) = .05

Since the natural logarithm of two is not equal to one-twentieth, something is badly wrong with the above series of... events (?).

Why does the exponent drop? Thanks.

It's a basic rule of logarithms. You can learn about these rules here.