# Exponential Functions

## Main Question or Discussion Point

1. (3*square root of 2)^square root of 2 How do I simplify this and other exponential expressions?
2. 3^(power of 2*x)-1=3^(power of x) + 2 How do i solve this?

I don't know how to attempt it...Help please

Regarding your first question: you can't, really. Subjectively, there's no "simpler" form than what you already have.

Regarding your second question: define y=3^x, and recast your equation in terms of y. Can you solve this?

according to glencoe algebra 2 number 1 can be simplified even more but they dont tell HOW????

no https://www.physicsforums.com/latex_images/16/1681321-1.png [Broken] thats what its supposed to look like, i have to find x

Last edited by a moderator:
symbolipoint
Homework Helper
Gold Member
Try this: instead of 2^(1/2), use some variable, r, for the (1/2). Now you have
something like (3*2^r)^(2^r), convert this into ordinary algebraic notation so it is easier to understand; and then use your laws of exponents.

symbolipoint
Homework Helper
Gold Member
Actually what I obtain is not much clearer. Example seems like a calculator exercise.

symbolipoint
Homework Helper
Gold Member
Now, I find this:

(3^(1/2))*2^((2^(1/2))/2 )