Exercise 1.7: Fix

b>1,y>0,$

prove\ there is a unique real x, such that

,b^(x)=y

, by completing the folowing (This

x

is called the logarithm of

y

to the baseb)\ a) For any pos int

n,b^(n)-1>=n(b-1)

Exercise 1.1: Fix b>1,y>0,$ prove ! realx, ,bx=y,b completing the folowing (This x is called the logarithm of y to the base b) a) For any pos int n,bn1>n(b1)