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

Question

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

Dr. Abubacker · Accepted Answer

(d)
$\log_{10}\left( \frac{a + 10b + 10^{2}c}{10^{- 4}a + 10^{- 3}b + 10^{- 2}c} \right)$
$= \log_{10}\left( \frac{a + 10b + 10^{2}c}{\frac{1}{10^{4}}(a + 10b + 10^{2}c)} \right)$
$= \log_{10}{10^{4} = 4}$

Q. If $a,\ b,\ c \neq 0$ and belongs to the set $\{ 0,\ 1,2,\ 3,\ \ldots\ldots..,\ 9\}$, Then $\log_{10}\left( \frac{a + 10b + 10^{2}c}{10^{- 4}a + 10^{- 3}b + 10^{- 2}c} \right)$ is equal to

Explanation

Reviewed by Dr. Abubacker

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