1. ## 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

2. 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}
$

3. first one you are correct,
second problem is the first one that you made. thnx.
p.s. where can i get that font?

4. 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.

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

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

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