+130474 1. If x is a real number such that 2^(2x+3)=14, find 2^x.
2^(2x + 3) = 14
2^(2x) * 2^3 = 14
2^(2x) * 8 = 14 divide both sides by 8
2^(2x) = 14/8
2^(2x) = 7/4 and we can write
(2^x)^2 = 7/4 since an exponential can never be nrgative, take the positive root
2^x = √7 / 2
+776 CPHill, I have a question about logarithms and functions too.
Let f(n)={ n2+1 if n is odd.
{ n2 if n is even.
For how many integers n from 1 to 100, inclusive, does f(f(...f(n)...))=1 for some number of applications of f?
Thanks!
