question:

ln(x^2)/ln(e^x)

I just don't see anything on the formula sheet that matches this.

List of integrals of logarithmic functions - Wikipedia, the free encyclopedia

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- Jan 5th 2013, 12:42 PMtogohelp with natural logarithm
question:

ln(x^2)/ln(e^x)

I just don't see anything on the formula sheet that matches this.

List of integrals of logarithmic functions - Wikipedia, the free encyclopedia - Jan 5th 2013, 12:59 PMskeeterRe: help with natural logarithm
I assume you wish to integrate this expression?

$\displaystyle \frac{\ln(x^2)}{\ln(e^x)}} = \frac{2\ln{x}}{x}$

$\displaystyle \int 2\ln{x} \cdot \frac{1}{x} \, dx$

integration by substitution ...

let $\displaystyle u = \ln{x}$

can you finish? - Jan 5th 2013, 12:59 PMPlatoRe: help with natural logarithm
- Jan 5th 2013, 01:02 PMHallsofIvyRe: help with natural logarithm
**I**don't see a question! You give an expression. What do you want to do with it? If you are trying to "simplify" it then two basic properties should help: $\displaystyle ln(x^2)= 2ln(x)$ and [tex]ln(e^x)= x[/itex].

You give a link to a "list of integrals". Do you want to integrate that? $\displaystyle 2\int [ln(x)/x] dx$? Then I think the substitution u= ln(x) will do nicely! - Jan 6th 2013, 07:53 AMtogoRe: help with natural logarithm
want to integrate it.

- Jan 6th 2013, 08:16 AMtogoRe: help with natural logarithm
yeah I have no idea where to find the rule for handling that. It didn't look like it was on the wikipedia formula sheet.

- Jan 6th 2013, 08:45 AMskeeterRe: help with natural logarithm
recommend you research the technique of

**integration by substitution** - Jan 6th 2013, 08:55 AMskeeterRe: help with natural logarithm
- Jan 6th 2013, 08:57 AMMarkFLRe: help with natural logarithm
- Jan 6th 2013, 08:59 AMPlatoRe: help with natural logarithm