Suppose a, b, c are real numbers and the following equation is true.
(a + b – 5)2 + (b + 2c + 3)2 + (c + 3a – 10)2 = 0
Find the integer closest to a3 + b3 + c3.
Let α = log10 2, β = log10 3, γ = log10 7. Which of the following choices is closest to an integer?
a) 2β b) 5α + β c) α + 2γ d) 2α + 5β e) 2α + β + γ
Hint: 22 × 35 = 9.72×102
