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.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> 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.      Log On


   

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) About Me  (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 

c+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

c+=+%28-2+%2B-+sqrt%28+12536%29%29%2F%282%29+

Solutions: 54.9821, -56.9821 (note: negative solution is Extraneous)

   c = 54.9821

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