# Studying for a final exam, Help with Logs please

• May 22nd 2009, 11:38 AM
dpjwilson
Studying for a final exam, Help with Logs please
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
• May 22nd 2009, 12:05 PM
skeeter
Quote:

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 ...

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

???

second ...

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

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

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

$\displaystyle 2\sqrt[4]{11} \cdot \sqrt{e}$
• May 22nd 2009, 12:09 PM
dpjwilson
first one you are correct,
second problem is the first one that you made. thnx.
p.s. where can i get that font?
• May 22nd 2009, 02:50 PM
HallsofIvy
It's not a special font- it's "LaTex" that works on this site. If you click on an equation you can see the code that gives the equation.
• May 22nd 2009, 04:09 PM
skeeter
$\displaystyle 5^{4 - \frac{1}{4}\log_5{4}} =$

$\displaystyle \frac{5^4}{5^{\log_5{4^{\frac{1}{4}}}}} =$

$\displaystyle \frac{5^4}{4^{\frac{1}{4}}}$