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IPMAT Indore 2025 · Question 28 of 90 · Quantitative Ability (MCQ)

IPMAT Indore 2025 — Question 28

If $y = a + b lo g_{e} x$ then which of the following is true?

A $lo g_{e} y$ is proportional to $x$
B $\frac{1}{y - a}$ is proportional to $x^{b}$
C $y - a$ is proportional to $x^{b}$
D $e^{y}$ is proportional to $x^{b}$

Reveal answer

Correct answer

D.

e^{y}

is proportional to

x^{b}

Reveal solution

From $y = a + b lo g_{e} x$ , we get $y - a = b lo g_{e} x = lo g_{e} x^{b}$ . So $e^{y - a} = x^{b}$ , i.e., $e^{y} = e^{a} \cdot x^{b}$ , so $e^{y} \propto x^{b}$ .

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