SOLUTION: log 2 (x-2) + log 2 (x+1) = 2

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Question 1196707: log 2 (x-2) + log 2 (x+1) = 2
Found 3 solutions by josgarithmetic, MathTherapy, greenestamps:
Answer by josgarithmetic(39623)   (Show Source): You can put this solution on YOUR website!

Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!
log 2 (x-2) + log 2 (x+1) = 2
This appears to be base 2, and it seems as though you need this solved for x. If so, you need to communicate better!

It'd then be: 

If the above is true, then x = 3  or x = - 2, but - 2 is EXTRANEOUS, so the only solution would be: x = 3.

If the above is true, then , as the other person states!

Answer by greenestamps(13203)   (Show Source): You can put this solution on YOUR website!




A sum of logs is the log of the product:






or

But x = -2 is invalid because we would have to take the logarithm of a negative number.

ANSWER: x=3

CHECK:


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