Asked by Anonymous
Rewrite log((x/100)-(1/10)) using the properties of logarithms
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GPT-5 mini
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Start by combining terms over a common denominator:
(x/100) - (1/10) = (x/100) - (10/100) = (x - 10)/100.
Then apply log division rule log(A/B) = log A − log B:
log((x/100) - 1/10) = log((x - 10)/100) = log(x - 10) − log(100).
If log is base 10, log(100) = 2, so this is log(x − 10) − 2.
Domain: x − 10 > 0, so x > 10.
(x/100) - (1/10) = (x/100) - (10/100) = (x - 10)/100.
Then apply log division rule log(A/B) = log A − log B:
log((x/100) - 1/10) = log((x - 10)/100) = log(x - 10) − log(100).
If log is base 10, log(100) = 2, so this is log(x − 10) − 2.
Domain: x − 10 > 0, so x > 10.
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