I suspect that the previous reply is referring to your textbook and your classroom lecture notes. Were you given rules for working with these series?No, that is the entire question.
When you say log(base5)^5, do you mean log5(5)? I think so, and I get the same answer then.Second question is
"Solve 2(5^(x+1)) = 1 + 3/(5^x), giving the answer in the form a + log(base 5) b, where a and b are integers"
I managed to solve for x, but I have no idea how to put it in the form a + log(base 5) b.... In fact this is what I got:
5^x = 3/5
x = log(base5)^3/5
= log(base5)^3 - log(base5)^5
= -1 + log(base5)^3
so a = -1 and b = 3? I don't have the answer so I am not quite sure.