document.write( "Question 152548: HELP! im not sure how to go about solving these 2 simple problems!\r
\n" ); document.write( "\n" ); document.write( "1) ln(5x) + ln(9) = ln(6x + 2)\r
\n" ); document.write( "\n" ); document.write( "2) 3^(2x +4)= 27^ (x-7)\r
\n" ); document.write( "\n" ); document.write( "i really dont just want the answers, i want to understand how to do them, and why they work that way. if someone can please help me to understand this, i'd be very greatful. THANKS
\n" ); document.write( "

Algebra.Com's Answer #112120 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
1. Remember your log rule,
\n" ); document.write( "\"ln%28A%29%2Bln%28B%29=ln%28AB%29\"
\n" ); document.write( "Then
\n" ); document.write( "\"ln%285x%29%2Bln%289%29=ln%286x%2B2%29\"
\n" ); document.write( "\"ln%2845x%29=ln%286x%2B2%29\"
\n" ); document.write( "\"45x=6x%2B2\"
\n" ); document.write( "\"39x=2\"
\n" ); document.write( "\"x=2%2F39\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "2. Remember the exponentitation rule,
\n" ); document.write( "\"%28x%5EM%29%5EN=x%5E%28M%2AN%29\"
\n" ); document.write( "Then
\n" ); document.write( "\"3%5E%282x%2B4%29=27%5E%28x-7%29\"
\n" ); document.write( "\"3%5E%282x%2B4%29=%283%5E3%29%5E%28x-7%29\"
\n" ); document.write( "\"3%5E%282x%2B4%29=3%5E%283%2A%28x-7%29%29\"
\n" ); document.write( "\"2x%2B4=3%2A%28x-7%29\"
\n" ); document.write( "\"2x%2B4=3x-21\"
\n" ); document.write( "\"-x=-25\"
\n" ); document.write( "\"x=25\"\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );