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For non-negative integers, $a, b, c$, what would be the value of $a+b+c$ if $\log a + \log b + \log c = 0$?

  1. 3
  2. 1
  3. 0
  4. -1
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Migrated from GO Civil 4 years ago by Arjun

1 Answer

Best answer
3 votes
3 votes
Given that $a, b$ and $c$ are non-negative integers, i.e., $a,b,c\geq0$
and $\log a + \log b + \log c = 0$

$\implies\log abc=0$
$\implies abc={10}^{0}$
$\implies abc=1$

Since $a,b,c$ are non-negative integers, $a=b=c=1$
$\implies a+b+c=1+1+1=3$

So, (A) is the correct answer.
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