/sci/ - Science & Math

>>15032726
>>15032729
ty so much anons, i have these posts all copied and i will review them tonight while i redo the problem, i appreciate all your help!

>>14886435
>>14886427
thats very helpful, thank you anon, and thank you for the cat!

>>14610861
thanks anon much appreciated

so it doesnt matter what S(n) formula i choose as long as i properly account for the indexing right?

like if i go from 0 to n (n+1 terms) then my last term in the sequence will be different than the last term in 0 to n-1 (n terms), which will change the equation in the S(n) formula so it ends up being the same,

so its up to me to choose the formula and indexing but i also have to account for it properly?

I think that's what i have been screwing up and not understanding the most

how do i solve log3(81)?

i know what the answer is but what if i didnt know that 81 is the same as 3^3?

is there a formulaic way to figure out what the big number must be based on the base?

i looked online and all the solutions to these problems just turn 81 into 3^3 without explanation.