SOLUTION: Determine the positive solution to the following equation: log5(c - 2) + log5(c + 4) = 5. (Please round your answer to two decimal places.) I really Need step by step please.

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Question 451125: Determine the positive solution to the following equation: log5(c - 2) + log5(c + 4) = 5. (Please round your answer to two decimal places.)
I really Need step by step please.

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi


(c-2)(c+4) = 5^5
c^2 +2c - 8 = 3125
c^2 + 2c - 3133 = 0


Solutions: 54.9821, -56.9821 (note: negative solution is Extraneous)
c = 54.9821
Important to be familiar with the following:





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