SOLUTION: how do you solve the problem log w + log(3w-13) = 1?

Question 434452: how do you solve the problem log w + log(3w-13) = 1?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
solve the problem log w + log(3w-13) = 1
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log[w(3w-13)] = 1
---
log[3w^2-13w] = 1
---
3w^2-13w= 10
3w^2-13w-10 = 0
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3w^2-15w+2w-10 = 0
---
3w(w-5)+2(w-5) = 0
(w-5)(3w+2) = 0
w = 5 or w = -2/3
---
Positive solution:
w = 5
Cheers,
Stan H.
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