A common mistake occurs normally during simplification to a single logarithm term.
Question like,
" Simplify log X - log Y + log Z into a single term "
catches many students who are careless.
What is the error or mistake made?
- Doing the solving at one go when not familiar with the logarithmic rules
- Sign interpretation
Wrong answer given: log X/(YZ)
Correct answer: log XZ/Y
"log Z" is commonly taken to follow the previous log term, which is, "- log Y ".
Since "- log Y " causes the "Y" to be a denominator, "Z" is also taken to be a denominator too!
This is a mis-cue. A mental slip, mathematically.
Advise:
Look at the sign carefully before jumping to conclusion.
Go slow in the combination to a single log term.
Remember the idiom: "Slow and steady wins the race"
You can apply this to log simplification when you are new to it.
Cheers! :-D
.
Tuesday, 17 February 2009
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1 comment:
this was great tips thanks
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