1. The Googolplex: A googol is 10100, and a googolplex is 10googol. Find
log(log(googol)) and log(log(log(googolplex)))
log(googol)=100
log(100)=2
log(log(googol))=2
log(googolplex)=googol
log(googol)=100
log(100)=2
log(log(log(googolplex)))=2
2. Comparing Logarithms: Explain which is larger without using a calculator. (You need to explain with basic reasoning, determining the approximate numerical value will give you no credit).
Log4 ( 17 ) or log5 ( 24 )
2. Comparing Logarithms: Explain which is larger without using a calculator. (You need to explain with basic reasoning, determining the approximate numerical value will give you no credit).
Log4 ( 17 ) or log5 ( 24 )
42<17 and 52>24 so that
Log4 ( 17 ) >2 and log524<2
