please delete

[lisasayzhi]

please delete

 

[Unco]

The log of a product rule:

\(\displaystyle \mbox{ \ln{(2e^x)} = \ln{(2)} + \ln{(e^x)}\)

And \(\displaystyle \mbox{\ln{(e^x)} = x}\) because the natural log (log base e) of x is the inverse function of the exponential, base e, of x .

 

[lisasayzhi]

please delete

 

[pka]

\(\displaystyle \L
\int {\ln (2)dx = \ln (2)x + C}\)

 

[stapel]

...what happens to the [integral]ln(2)?

The natural log of two is just a number. A messy number, granted, like \(\displaystyle \pi\) or \(\displaystyle e\) or \(\displaystyle \sqrt{2}\), but just a number, nonetheless.

You know how to handle this:

. . . . .\(\displaystyle \int{\,3\,}dx\)

Do the same thing with the integral of ln(2). :wink:

Eliz.