Question 20
Let $x$ be chosen at random from the interval $(0, 1).$ What is the probability that $$
\lfloor \log_{10} 4x \rfloor - \lfloor \log_{10} x \rfloor = 0?
$$ Here $\lfloor x \rfloor$ denotes the greatest integer that is less than or equal to $x.$
\lfloor \log_{10} 4x \rfloor - \lfloor \log_{10} x \rfloor = 0?
$$ Here $\lfloor x \rfloor$ denotes the greatest integer that is less than or equal to $x.$