is there any other criteria, like x has to be an integer? because if it is just x> 3, then stuff like x = 3.04 could technically work in that equation...
but yeah there must be a huge number greater than 3.05 that satisfies that equation, 'cept i have noo clue how to find it xD..
maybe there's a geometric sequence with the amount each value's increase is decreasing x__o if that makes anY sense..!
Hmm.. you might be barking up the right tree with the series idea. The problem doesn't say n must be an integer, but I guess what they mean is n > 3.xxxx... because you're right 3.05 would work.
I got X = 3.0597 also. I graphed ln(x) and x^.1 and then looked for the interesection which was (3.0597, 1.1183). Therefore, isn't 3.05 the answer? If you plug it back in, it works.
Yes, 3.06 works in the equation, but it's not the answer they're looking for which is an integer and EXTREMELY HUGE. It's a free response question, so you can't guess. I'm wondering how on earth they expect you to figure this out...
Just in case anyone's panicking, this is way beyond anything on the SAT or SAT II.
The actual answer is n => 3.431 x 10^15, so you're answer is correct although it is not the smallest correct answer. You got the decimal places right, though!
What made you think of anything x 10^15? Did you just guess and check?
sorry i couldnt be of more help...i have no idea how to do it...it had to be a huge number so after i tried like 10000 i did like 50 x 10^10 no, 50 x 10^15 yay . i didnt know you needed the smallest number possible though
Replies to: The Hardest Math Problem Ever
but yeah there must be a huge number greater than 3.05 that satisfies that equation, 'cept i have noo clue how to find it xD..
maybe there's a geometric sequence with the amount each value's increase is decreasing x__o if that makes anY sense..!
Just in case anyone's panicking, this is way beyond anything on the SAT or SAT II.
ln(5 X 10^15) = 36.14821...
(5 X 10^15)^.1 = 37.1447...
every number higher than that works too so i guess thats prolly not right
The actual answer is n => 3.431 x 10^15, so you're answer is correct although it is not the smallest correct answer. You got the decimal places right, though!
What made you think of anything x 10^15? Did you just guess and check?
sorry i couldnt be of more help...i have no idea how to do it...it had to be a huge number so after i tried like 10000 i did like 50 x 10^10 no, 50 x 10^15 yay . i didnt know you needed the smallest number possible though
x>11ln0.1/1-(0.1)^11
3.028777595