x to the x to the x to the x to the x to the x.......= 7
x^x^x^x^x^x^x.......= 7
My teacher gave my class this to see if we could get it, we are learnding log and e (2.718...) in class right now and he did say something about infinity ( i don't remimber, i was tired). The caret means that the number before it is taken to the power after it, and the dot dot dot means it goes on for ever.
Note: this is NOT the same as, The quonity of, the quonity of the quonity...of x to the x take to the x ,that taken to the x..... equals 7
or
.((((((((x^x)^x)^x)^x)^x)^x)..... =7
becacuse that would be x to the infinity x
or
x^(infinity x)=7
Sorry if it's not clear but i did the best i could.
2007-01-03 07:37:26 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
x^x^x^x^x... = 7
Take natural log of both sides
(x^x^x^x^x^x....) Ln x = Ln 7
But x^x^x^x^x^x... = 7
So
7 Ln x = Ln 7
Ln x = (Ln 7) / 7
x = e^((Ln 7) / 7)
x = 7^(1/7)
2007-01-03 07:48:07 · answer #1 · answered by z_o_r_r_o 6 · 1⤊ 0⤋
IF I understand correctly you are looking for a number raised to a power - and the power is equal to the base. That would give some quanity which you want to multiply by itself an unlimited number of times and have the product equal 7. My head tells me I must not understand!
2007-01-03 15:48:30 · answer #2 · answered by Richard S 6 · 0⤊ 0⤋
i am sorry, but this question is seriously confused. it appears to me that there is a serious lack of understanding of basic math concepts, not to mention spelling. I seriously advise talking with your teacher about this and getting the help needed to get you to the place you need to be.
2007-01-03 15:42:33 · answer #3 · answered by Rick 5 · 0⤊ 0⤋
I think your question is clear, but your statements are almost all false.
2007-01-03 15:46:50 · answer #4 · answered by Nelson_DeVon 7 · 0⤊ 0⤋