For the question about number of operations, does the negative sign count as an operation? As you could define the negative sign as subtracting from zero, so you would get 3^9 possibilities...
Also, for "Without doing calculations, determine (and prove) which of 31^11 and 17^14 is greater." question, couldnt you use logarithms?
NOTE: I dont know the symbol for "Is greater, less than, or equal?" so I use ... OK?
31^11 ... 17^14
11ln31 ...14ln17
e^11 + 31 ... e^14 + 17
so, if e^3 > 14, then 17^14 > 31^11
Define e as ~2.7
2.7^3 = 19.683
(But, I dont know as much as you guys seem to know, so I could be wrong...)
Originally posted by Tokzic
is the repetition of the last line a metaphorical comparison of the dependance of society on technology today versus the more natural lifestyle of the late nineteenth century
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