Question
Find the value of: $\log _{0.1} 10$

Answer

$\log _{0.1} 10$
Let $\log _{0.1} 10 = x$
$\Rightarrow 0.1^x = 10$
$\Rightarrow (10^{-1})^x = 10^1$
$\Rightarrow x = -1$
$\therefore -x = 1.$

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