SOLUTION: log(x+14)+log(x+2)=6

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Question 1094663: log(x+14)+log(x+2)=6
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!


Use the principle:  to write
the left side as a single logarithm:



Use the principle:  to put in the understood
logarithm base:



Use the principle that the logarithm equation  is equivalent
to the exponential equation  to rewrite the above logatithm
equation as an exponential equation:







Substitute a=1, b=16, and c=-999972 in the quadratic formula:

















We discard the negative answer since logarithms of negative
numbers are not real.  So the only solution is



That's approximately 992.0179998

Edwin
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