SOLUTION: If α and β are the roots of the equation 3x^2 - 25x + 30 = 0 , find the value of log α + log β.

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Question 1199385: If α and β are the roots of the equation 3x^2 - 25x + 30 = 0 , find the value of log α + log β.
Answer by ikleyn(53751) About Me  (Show Source):
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If α and β are the roots of the equation 3x^2 - 25x + 30 = 0 , find the value of log(α) + log(β).
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If α and β are the roots of the equation 3x^2 - 25x + 30 = 0,  then according to Vieta's theorem  

    α*β = 30%2F3 = 10.


Hence,  log(α) + log(β) = log(α*β) = log(10) = 1.    ANSWER

Solved.