document.write( "Question 805669: log(x + 3) = log 4 − log(2x − 3) \n" ); document.write( "
Algebra.Com's Answer #485400 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\"log%28x+%2B+3%29+=+log%28+4%29-+log%282x+-3%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"log%28x+%2B+3%29+=+log%28+4%2F%282x+-3%29%29\".....if log same, than\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"+x+%2B+3+=+4%2F%282x+-3%29\"........solve for \"x\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"+%28x+%2B+3%29%282x+-3%29+=+4\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"++2x%5E2+-3x%2B6x-9+=+4\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"++2x%5E2+%2B3x-9+-4=0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"++2x%5E2+%2B3x-13=0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\" \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-3+%2B-+sqrt%28+3%5E2-4%2A2%2A%28-13%29+%29%29%2F%282%2A2%29+\" \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-3+%2B-+sqrt%28+9%2B104+%29%29%2F4+\" \r
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-3+%2B-+sqrt%28+113+%29%29%2F4+\" \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-3+%2B+sqrt%28+113+%29%29%2F4+\" or\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%28++sqrt%28+113+%29-3%29%2F4+\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%281%2F4%29+%28sqrt%28113%29-3%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+1.907536453183662351999780478732328555491816064645649120199218++\" ...round it \r
\n" ); document.write( "\n" ); document.write( "\"x+=+1.9+\" ......your solution\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "or\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%281%2F4%29+%28-sqrt%28113%29-3%29\" but we have log and we do not need negative solution\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( " \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );