SOLUTION: The Greek God Zeus ordered his blacksmith Hephaestus to create a perpetual water-making machine to fill Zeus' mighty chalice. The volume of Zeus' chalice was reported to hold about

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The Greek God Zeus ordered his blacksmith Hephaestus to create a perpetual water-making machine to fill Zeus' mighty chalice. The volume of Zeus' chalice was reported to hold about      Log On


   

Question 469490: The Greek God Zeus ordered his blacksmith Hephaestus to create a perpetual water-making machine to fill Zeus' mighty chalice. The volume of Zeus' chalice was reported to hold about one hundred and fifty sextillion gallons (that is a fifteen followed by twenty-two zeros). If Hephaetus' machine pours out 2 gallon in the first minute and then doubles its output each minute, find in which minute would this hypothetical machine pour out a single quantity of water that would be enough to fill Zeus' chalice with water?
hr. min.
This one is very hard to do. I would like to know how this one is supposed to be solved.Thanks and have a great day!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
How about 2%5Et+=+1.5%2810%5E23%29
log%28%282%5Et%29%29+=+log%28%281.5%2810%5E23%29%29%29
.30103t = 23.17609
t = 23.17609%2F.030103
t = 77 minutes which is 1 hr 17 min
:
:
Check it: 2%5E77 ~ 1.511(10^23) which is 15(10^22)