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Q.

If $a . \log_{0.1} x = b \log_{0.01} x$ , then $b$ in terms of $a$ is

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a

$a$

b

2a

c

3a

d

4a

answer is B.

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Detailed Solution

$a . \log_{0.1} x = b \log_{0.01} x$

$a . \log_{0.1} x = b \log_{{(0.1)}^{2}} x$

$a . \log_{0.1} x = \frac{b}{2} \log_{0.1} x$

$a = \frac{b}{2}$

$b = 2 a$

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