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

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) (Show Source): You can put this solution on YOUR website!
.
If α and β are the roots of the equation 3x^2 - 25x + 30 = 0 , find the value of log(α) + log(β).
~~~~~~~~~~~~~~~~

If α and β are the roots of the equation 3x^2 - 25x + 30 = 0,  then according to Vieta's theorem  

    α*β =  = 10.


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

Solved.

RELATED QUESTIONS
If the two roots of the quadratic equation x^2-6x+1=0 are log a and log b, what is the... (answered by KMST)

given log 7=0.8451 and log 2 =0.3010, find the value of log 28. (answered by Alan3354,Theo,ikleyn,MathTherapy)

Find the roots of the polynomial equation. x^4 - 5x^3 + 11x^2 - 25x + 30 = 0;... (answered by Edwin McCravy)

If log2, log(2^x-1) and log(2^x+1) are in A.P, find the value of x. (answered by MathLover1,greenestamps)

If log2, log(2^x - 1) and log(2^x + 1) are in A.P, find the value of x. (answered by ikleyn)

if log 2 = m and log = n find the value of log 24 in terms of m and... (answered by josgarithmetic)

Solve the equation and five the exact value log (3x) + log (x-2) = log (x-4) (answered by MathLover1)

How to find value log log(40) when I am given the values of log(2) and log(5) in the... (answered by fractalier)

Find the value of x. ln (x-3)-2=0 Solve the logarithmic equation. log x +... (answered by stanbon)