I am trying to figure out this problem:
If 5^n + 5^n + 5^n + 5^n + 5^n = 5^25 then what is the integer n that satisfies this equation?
I know that when adding exponents, I do not add the exponents together. Instead I add the base with its exponent to the other bases with their exponents. I know that 5^25 = 2.980232239 x 10^17. I am trying different integers and plugging them in for n and then addint all five of them to see if I can get that exact large number...but I can't get it...any help?
EDIT: I got it! n = 24.