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according to log properties, the graph of 2log(x-3) should equal log(x-3)^2. why arent they equal?

2007-11-15 12:59:20 · 3 answers · asked by Anonymous in Science & Mathematics Mathematics

i did add the parenthesis:
Y1= log((x-3)^2)
Y2= 2 log(x-3)
Y1 shows Y2 reflected across x=3 in addition to the graph of Y1.

2007-11-15 13:09:00 · update #1

3 answers

The problem is:
2 log(x-3) = log ((x-3)^2)
2 log(x-3) is not equal to (log(x-3))^2

2007-11-15 13:03:21 · answer #1 · answered by khanhuyen239 2 · 0 0

The graph of 2log(x - 3) is the same as the graph of log((x - 3)^2) but not the same as (log(x - 3))^2.

2007-11-15 21:05:29 · answer #2 · answered by Helmut 7 · 0 0

because when you plugged into your wonderful TI 83 graphing calculator, (i knwo you did, dont lie) you messed up the brackets. instead, you typed in (log(x-3))^2
check your brackets

2007-11-15 21:03:40 · answer #3 · answered by Bikki 3 · 0 0

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