If $a, b, c,
eq 0$ and belong to the set to $\{0,1,2$, $3 \ldots \ldots, 9\}$, then $\log _{10}\left(\frac{a+10 b+10^2 c}{10^{-4} a+10^{-3} b+10^{-2} c} ight)$ is equal to

Question

If $a, b, c, 
eq 0$ and belong to the set to $\{0,1,2$, $3 \ldots \ldots, 9\}$, then $\log _{10}\left(\frac{a+10 b+10^2 c}{10^{-4} a+10^{-3} b+10^{-2} c}ight)$ is equal to

Aicharya · Accepted Answer

$\begin{aligned} & \log _{10}\left(\frac{a+10 b+10^2 c}{10^{-4} a+10^{-3} b+10^{-2} c}ight) \ & =\log _{10}\left(\frac{a+10 b+10^2 c}{\frac{1}{10^4}\left(a+10 b+10^2 cight)}ight)=\log _{10} 10^4=4\end{aligned}$

If $a, b, c, \neq 0$ and belong to the set to $\{0,1,2$, $3 \ldots \ldots, 9\}$, then $\log…

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