# Thread: L'Hospital Limit Problem

1. ## L'Hospital Limit Problem

Question:
lim t---> 0 (5^t - 3^t)/t

Answer:
ln(5/3)

My work is attached.

Any help would be greatly appreciated!
Thanks in advance!

2. Originally Posted by s3a
Question:
lim t---> 0 (5^t - 3^t)/t

Answer:
ln(5/3)

My work is attached.

Any help would be greatly appreciated!
Thanks in advance!
I do not see your work...

Anyway, you have the required form for using L'Hopital's rule. Apply it once to get to the answer... a property of logs comes into play... that is, how can you rewrite the subtraction of logs?

3. Lol, oops, I added it now.

4. Originally Posted by s3a
Lol, oops, I added it now.
No, do not log both sides! Apply L'Hopital's rule right away.