SOLUTION: Solve the logarithmic equation. log x + log(x + 48) = 2

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Question 738480: Solve the logarithmic equation.
log x + log(x + 48) = 2

Found 2 solutions by josmiceli, MathLover1:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
The key is to make the substitution




( by inspection )
( disregard )

-----------
Check:




OK
cannot be an answer because the expession
would make no sense. There cannot be a log
which will gives you a negative number.


Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
....in base you will have









...use quadratic formula





solutions: we need only positive solution






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