SOLUTION: log(x + 3) = log 4 − log(2x − 3)

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Question 805669: log(x + 3) = log 4 − log(2x − 3)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
log%28x+%2B+3%29+=+log%28+4%29-+log%282x+-3%29


log%28x+%2B+3%29+=+log%28+4%2F%282x+-3%29%29.....if log same, than

+x+%2B+3+=+4%2F%282x+-3%29........solve for x

+%28x+%2B+3%29%282x+-3%29+=+4

++2x%5E2+-3x%2B6x-9+=+4

++2x%5E2+%2B3x-9+-4=0

++2x%5E2+%2B3x-13=0

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

x+=+%28-3+%2B-+sqrt%28+3%5E2-4%2A2%2A%28-13%29+%29%29%2F%282%2A2%29+

x+=+%28-3+%2B-+sqrt%28+9%2B104+%29%29%2F4+
x+=+%28-3+%2B-+sqrt%28+113+%29%29%2F4+


solutions:
x+=+%28-3+%2B+sqrt%28+113+%29%29%2F4+ or
x+=+%28++sqrt%28+113+%29-3%29%2F4+
x+=+%281%2F4%29+%28sqrt%28113%29-3%29

x+=+1.907536453183662351999780478732328555491816064645649120199218++ ...round it
x+=+1.9+ ......your solution

or
x+=+%281%2F4%29+%28-sqrt%28113%29-3%29 but we have log and we do not need negative solution