Studying for a final exam, Help with Logs please

**dpjwilson** · May 22nd 2009, 11:38 AM

So I understand the 3 log laws. And I also understand the cancellation laws of e and ln.

I am stuck and my book has no examples like these.
5^4-1/4logbase5^4

and

2 * E^1/4ln(11e^2)

tried to write that so you can understand it, anything in red is raised up. Any help would be great. thanks

**skeeter** · May 22nd 2009, 12:05 PM

Originally Posted by dpjwilson

So I understand the 3 log laws. And I also understand the cancellation laws of e and ln.

I am stuck and my book has no examples like these.
5^4-1/4logbase5^4

and

2 * E^1/4ln(11e^2)

tried to write that so you can understand it, anything in red is raised up. Any help would be great. thanks

please confirm the first expression ...

$ 5^{4 - \frac{1}{4}\log_5{4}} $

???

second ...

$2e^{\frac{1}{4} \ln(11e^2)} =$

$2e^{\ln(11e^2)^{\frac{1}{4}}} =$

$2(11e^2)^{\frac{1}{4}} =$

$ 2\sqrt[4]{11} \cdot \sqrt{e} $