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Q.

If $\log_{x} (2 x^{2} - 3 x) = 1$ , then $x =$

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a

0

b

1

c

2

d

1 or 2

answer is C.

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Detailed Solution

$\log_{x} (2 x^{2} - 3 x) = 1$

$2 x^{2} - 3 x = x \Rightarrow 2 x^{2} - 4 x = 0$

$2 x (x - 2) = 0 \Rightarrow x = 0 o r 2$

$x = 0$ is not possible

$∴ x = 2$

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