document.write( "Question 533803: Given that \"3%5E%28x%2B2%29\" = \"6%5E%282x%29\". Show that x = \"log%2812%2C%289%29%29\" \n" ); document.write( "
Algebra.Com's Answer #351164 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "                   \"3%5E%28x%2B2%29\" = \"6%5E%282x%29\"\r\n" );
document.write( "\r\n" );
document.write( "Take log base 12 of both sides:\r\n" );
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document.write( "              \"log%2812%2C%283%5E%28x%2B2%29%29%29\" = \"log%2812%2C%286%5E%282x%29%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "              \"%28x%2B2%29log%2812%2C%283%29%29\" = \"2x%2Alog%2812%2C%286%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "              \"%28x%2B2%29log%2812%2C%283%29%29\" = \"2x%2Alog%2812%2C%286%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "              \"%28x%2B2%29log%2812%2C%283%29%29\" = \"2x%2Alog%2812%2C%283%2A2%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "              \"%28x%2B2%29log%2812%2C%283%29%29\" = \"2x%28log%2812%2C%283%29%29%2Blog%2812%2C%282%29%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "To make things easier, let \"log%2812%2C%283%29%29\" = A and let \"log%2812%2C%282%29%29\" = B\r\n" );
document.write( "\r\n" );
document.write( "              (x + 2)*A = 2x(A + B)\r\n" );
document.write( "                Ax + 2A = 2Ax + 2Bx \r\n" );
document.write( "                     2A = Ax + 2Bx\r\n" );
document.write( "                     2A = x(A + 2B)\r\n" );
document.write( "                  \"%282A%29%2F%28A%2B2B%29\" = x\r\n" );
document.write( "Therefore:\r\n" );
document.write( "\r\n" );
document.write( "x = \"%282A%29%2F%28A%2B2B%29\" = \"%282log%2812%2C%283%29%29%29%2F%28log%2812%2C%283%29%29%2B2log%2812%2C%282%29%29%29\" = \"%28log%2812%2C%283%5E2%29%29%29%2F%28log%2812%2C%283%29%29%2Blog%2812%2C%282%5E2%29%29%29\" = \"%28log%2812%2C%289%29%29%29%2F%28log%2812%2C%283%29%29%2Blog%2812%2C%284%29%29%29\" = \"%28log%2812%2C%289%29%29%29%2F%28log%2812%2C%283%2A4%29%29%29\" = \"%28log%2812%2C%289%29%29%29%2F%28log%2812%2C%2812%29%29%29\" = \"%28log%2812%2C%289%29%29%29%2F1\" = \"log%2812%2C%289%29%29\"\r\n" );
document.write( "               \r\n" );
document.write( "Edwin
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