If \(y=a+b \log _{e} x\) then which of the following is true?
Question and options
If then which of the following is true?
- is proportional to
- is proportional to
- is proportional to
- is proportional to
Answer and explanation
Correct answer: C - \(e^{y}\) is proportional to \(x^{b}\)
y - a = b ln x = ln(x^b), so e^(y-a) = x^b, i.e. e^y = e^a * x^b, so e^y is proportional to x^b.
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