document.write( "Question 119567: can you please explain this to me step by step so i can understand it.\r
\n" ); document.write( "\n" ); document.write( "log(3-2x) - log (x+9)=0\r
\n" ); document.write( "\n" ); document.write( "i hope you can help me understand this\r
\n" ); document.write( "\n" ); document.write( "thank you
\n" ); document.write( "julie
\n" ); document.write( "

Algebra.Com's Answer #87603 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"log%2810%2C%283-2x%29%29-log%2810%2C%28x%2B9%29%29=0\" Start with the given equation. Note: Since you did not specify a base, this means that we're going to use the default base 10.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"log%2810%2C%28%283-2x%29%2F%28x%2B9%29%29%29=0\" Combine the logs using the identity \"log%28b%2C%28A%29%29-log%28b%2C%28B%29%29=log%28b%2C%28A%2FB%29%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"10%5E%280%29=%283-2x%29%2F%28x%2B9%29\" Rewrite the equation using the property: \"log%28b%2C%28x%29%29=y\" ====> \"b%5Ey=x\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"1=%283-2x%29%2F%28x%2B9%29\" Evaluate \"10%5E%280%29\" to get \"1\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%2B9=3-2x\" Multiply both sides by \"x%2B9\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=3-2x-9\"Subtract 9 from both sides\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%2B2x=3-9\" Add 2x to both sides\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"3x=3-9\" Combine like terms on the left side\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"3x=-6\" Combine like terms on the right side\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=%28-6%29%2F%283%29\" Divide both sides by 3 to isolate x\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=-2\" Divide\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "--------------------------------------------------------------\r
\n" ); document.write( "\n" ); document.write( "Answer:\r
\n" ); document.write( "\n" ); document.write( "So our answer is \"x=-2\" \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );