Solve for x and y if 5^(x−y) = 625 and 3^(2x) × 3^y = 243.

(note: I posted a similar question to this before, but this uses indices)
(Also note: Answer is, x = 3, y = -1 ; 7, and the question if inputted into an online calculator, is incorrect.)
Thnks for your time.

4 answers

since 5^4 = 625
and 3^(2x)*3^y = 3^(2x+y) and 243 = 3^5

x-y = 4
2x+y = 5

not so hard now, eh?
hm. I feel so stupid now.
Well, this is a far cry from what you made me do yesterday after you posted this:

https://www.jiskha.com/display.cgi?id=1511439208

btw, give yourself a nickname instead of "anonymous" to find your posts easier.
yeah, extremely sorry about that, though the question was to compare these two numbers (one w/ and w/o indices), and I only gave you half of the pie, so I'm really sorry about that. But, I'll try to think of a nickname, thanks for the suggestion.