SOLUTION: 2 log(x+2)+log4 = log x + 4 log3
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Question 33989: 2 log(x+2)+log4 = log x + 4 log3
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
i assume that the logs are all base10? If so,
2log(x+2)+log4 = log x + 4 log3
2log(x+2) = log x + 4 log3 - log4
2log(x+2) - log x = 4 log3 - log4
Now, raise both terms to power 10, to cancel the logs:
This is just a simple quadratic now, to either factorise if you can spot it or use the quadratic formula if not.
Working this through gives x=16 or x=0.25
jon.
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