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CAT 2003 | Question: 2-93

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Answer: B

$\log_{10}x – log_{10}\sqrt{x} = 2 \log_x10$

$\implies log_{10} \frac{x}{\sqrt{x}} = \frac{2}{\log_{10}x}$

$\implies \log_{10}\sqrt{x} = \frac{2}{\log_{10}x}$

$\implies \frac{1}{2}\log_{10}x = \frac{2}{\log_{10}x}$

$\implies (log_{10}x)^2 = 4$

$\implies \log_{10}x = \pm 2$

$\implies x = 100 \text{ or } \frac{1}{100}$

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