Posted by Tootsie on September 11, 2002 at 09:52:27:
In Reply to: More analysis of analogy posted by Cube on September 10, 2002 at 17:32:31:
: Also ==> the ratio of a dime and dollar
: 10/100 = .1
: log .1 = -1 so a dime is 10 times smaller than a dollar.
: The other way around
: 100/10= 10
: a dollar is 10 times bigger than a dime.
: Log 10 = 1
: So draw on what you know to remember the concept for a test.
: : It appears you are getting your minuses and divisions mixed up.
: : Though you subtract exponents from each other it is still a process of division. Use your calculator to check.
: : It may be easier for you to see this process in terms of a dollar if you forget it again.
: : 1 dollar = 100 pennies = 10^2 and log 100 = 2
: : And you already know a dollar is 100 times bigger than a penny.
: : So your problem
: : 10^12/10^8= 10^4 = 10,000 and log 10,000 = 4
: : so the thunder is 10,000 times louder than the sound of traffic.
: : So you will always be able to draw from what you know and never feel stupid again when asked a similar question. :) on to the the next one ...
: : Also if a teacher laughs at your mistakes he or she missed the opportunity to teach you how to learn from your mistakes and he or she just made a mistake too. So laugh right back.
: : : A dime is 1 tenth of a dollar. 10 cents = .10= 10/100 and log .1 = -1
: : : so your problem
: : : 10^12/10^8= 10^4 = 10,000 and log 10,000 = 4
: : : so the thunder is 10,000 times louder than the sound of traffic.
: : : : : : Is it really a matter of 10^12 - 10^8 = 10^4?
: : : : : First, look at that again!
: : : : : Is 2^5 - 2^2 = 2^3 ?
: : : : No, it's not. But I feel very stupid today. What are the next steps? I can't recall?