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

A. 3
B. 1
C. 0...

Question

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

A. 3
B. 1
C. 0
D. -1

Accepted Answer

a + b + c = 3 By the product rule, log(a) + log(b) + log(c) = log(abc) = 0, which means abc = 1. For non-negative integers, the only way the product abc = 1 is if all three are equal to 1 (since 0 would make the product 0, and any value >= 2 would make the product >= 2). So a = b = c = 1 and a + b + c = 3.

For non-negative integers a, b, c; what would be the value of a + b + c if log(a) + log(b) + log(c) = 0? A. 3 B. 1 C. 0 D. -1