document.write( "Question 926058: What is the exact answer of log(x+2)+log(x-3)=log(4x) \n" ); document.write( "
Algebra.Com's Answer #561951 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\"log%28x%2B2%29%2Blog%28x-3%29=log%284x%29\"\r
\n" ); document.write( "\n" ); document.write( "\"log%28%28x%2B2%29%28x-3%29%29=log%284x%29\"...since log same, we have\r
\n" ); document.write( "\n" ); document.write( "\"%28x%2B2%29%28x-3%29=4x\"...solve for \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2-3x%2B2x-6=4x\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2-x-6=4x\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2-x-6-4x=0\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2-5x-6=0\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2Bx-6x-6=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x%5E2%2Bx%29-%286x%2B6%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"x%28x%2B1%29-6%28x%2B1%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x-6%29%28x%2B1%29=0\"\r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "if \"%28x-6%29=0\"=> \"highlight%28x=6%29\" (real solution)\r
\n" ); document.write( "\n" ); document.write( "if \"%28x%2B1%29=0\"=> \"highlight%28x=-1%29\" (assuming a complex-valued logarithm)\r
\n" ); document.write( "\n" ); document.write( "intersection point: (\"x\",\"y\")\r
\n" ); document.write( "\n" ); document.write( "if \"x=6\"
\n" ); document.write( "\"log%2810%2C4x%29=log%2810%2C4%2A6%29=log%2810%2C24%29=1.38\"=> \"y=1.38\"\r
\n" ); document.write( "\n" ); document.write( "(\"6\",\"1.38\")\r
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