SOLUTION: I am lost on this problem, can someone help me solve this problem? 3log x - log (x 2 + 2 x −15) = log x

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Question 214362: I am lost on this problem, can someone help me solve this problem?
3log x - log (x 2 + 2 x −15) = log x

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
3%2Alog%28x%29+-+log%28x%5E2+%2B+2x+-+15%29+=+log%28x%29
subtract log%28x%29 frm both sides
2%2Alog%28x%29+-+log%28x%5E2+%2B+2x+-+15%29+=+0
2%2Alog%28x%29+=+log%28x%5E2+%2B+2x+-+15%29
log%28x%5E2%29+=+log%28x%5E2+%2B+2x+-+15%29
x%5E2+=+x%5E2+%2B+2x+-+15
2x+-+15+=+0
2x+=+15
x+=+15%2F2
check:
3%2Alog%28x%29+-+log%28x%5E2+%2B+2x+-+15%29+=+log%28x%29
log%28x%5E3%29+-+log%28x%5E2+%2B+2x+-+15%29+=+log%28x%29
log%28x%5E3%2F%28%28x%2B5%29%28x-3%29%29%29+=+log%28x%29
x%5E3+=+421.875
x+%2B+5+=+12.5
x+-+3+=+4.5
12.5%2A4.5+=+56.25
421.875%2F+56.25+=+15%2F2
OK