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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

Correct answer: 3

Solution

The equation log a + log b + log c = 0 implies that a * b * c = 1, since the logarithm of a product is the sum of the logarithms. For non-negative integers, the only values that satisfy this condition are a = 1, b = 1, and c = 1, leading to a + b + c = 3.

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