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From: Susan Socha <firstname.lastname@example.org> To: Teacher2Teacher Public Discussion Date: 2000080221:21:37 Subject: Logarithms I love teaching logs. I agree with the answers that were given about remembering that a log is an exponent. When I begin logs, I start with 10^0 = 1, 10^1=10, 10^2=100. Then I ask the kids 10 to what power would equal 8? They figure out that it is between 0 and 1, and I have them use their calculators and guess and test until they get it really close to 8. Then I give them a whole bunch of numbers like 26, 121, 2345, 12876 etc. and have them guess and test until they get the power for 10 that makes it equal to the target number. They find this tedious, but that's ok, because then when you tell them to press log 2345 and they automatically get the exponent, it drives home the lesson of exactly what a log is! They scream why didn't you tell us before, and all kinds of stuff, but the point has been made. Then move on to exponents with a base of 2. They will try to use the same button, or ask you where the log for base 2 button is on the calculator. Have them guess and test a little, and then move into the change of base rules. They really see the point of them if you progress in this fashion.
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