Chapter 4 - Section 4.3 - Logarithmic Functions - 4.3 Exercises - Page 354: 103

1. $log(log(googol))=2$ 2. $log(log(log(googolplex)))=2$

1. Since googol=$10^{100}$, we have $LG=log(googol)=log10^{100}=100$ $log(log(googol))=log(LG)=log(100)=2$ 2. Given googolplex=$10^{googol}$, we have $LP=log(googolplex)=log(10^{googol})=googol$ $log(log(log(googolplex)))=log(log(LP))=log(log(googol))=2$ (use result from (a))