SOLUTION: How do you solve this log? {{{log (6, w+3) + log (6, w - 2) = 2}}}

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Question 929298: How do you solve this log?

Found 2 solutions by Fombitz, ewatrrr:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!






Two solutions:


and


However since this leads to negative arguments for the log functions, this is not a valid solution.
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Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

= 2
(w+3)(w-2) = 36
w^2 + w -6 = 36
w^2 + w - 42 = 0
(w+7)(w-6)= 0 (w = -7 an extraneous root...results in undefined logarithm)
w = 6

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