# Thread: Help with two quick q's - logs and exps

1. ## Help with two quick q's - logs and exps

I'm doing maths for computer science at uni after not having done maths for 2 years (since GCSE), so I'm having some troubles... I've been set a bunch of homework q's about logs and exps, and I can do all the solving ones and most of the simplification ones. Except for these two:

Simplify:
$100^{log(t)}$ (this one looks simple to me already haha! I have no idea where to go with it)
and
$10^{ln(x)}$

Sorry, the answers are probably blatently obvious to anyone with half a brain but I'm just not sure what to do... arghh

2. $100^{log(t)} = (10^2)^{log(t)}$
$= 10^{2log(t)} = 10^{log(t^2)}$
$= t^2$

Theo other one we can manipulate, but I don't know that it becomes any simpler:

$10^{ln(x)} = (e^{ln(10)})^{ln(x)}$
$= e^{ln(10)ln(x)} = e^{ln(x^{ln(10)})}$
$= x^{ln(10)}$

3. Originally Posted by Henderson
$100^{log(t)} = (10^2)^{log(t)}$
$= 10^{2log(t)} = 10^{log(t^2)}$
$= t^2$
Ahh right, I suspected it had something to do with making 100 into 10^2 but I didn't get any further! Thanks for the help with both of them