document.write( "Question 631545: 2^(x + 4) = 5^(x - 3) round to the 4th decimal place. I've tried switching them over to log form and solving out but it seems it's always wrong. \n" ); document.write( "
Algebra.Com's Answer #397648 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"2%5E%28x+%2B+4%29\" = \"5%5E%28x+-+3%29\"\r\n" );
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document.write( "\"log%28%282%5E%28x+%2B+4%29%29%29\" = \"log%28%285%5E%28x+-+3%29%29%29\"\r\n" );
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document.write( "(x+4)log(2) = (x-3)log(5)\r\n" );
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document.write( "Let log(2) = A and log(5) = B\r\n" );
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document.write( "(x+4)A = (x-3)B\r\n" );
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document.write( "A(x+4) = B(x-3)\r\n" );
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document.write( "Ax+4A = Bx-3B\r\n" );
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document.write( "Ax-Bx = -4A-3B\r\n" );
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document.write( "x(A-B) = -4A-3B\r\n" );
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document.write( "x = \"%28-4A-3B%29%2F%28A-B%29\"\r\n" );
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document.write( "x = \"%28-4log%28%282%29%29-3log%28%285%29%29%29%2F%28log%28%282%29%29-log%28%285%29%29%29\"\r\n" );
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document.write( "Get your calculator. \r\n" );
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document.write( "x = 8.295295582 rounds to 8.2953\r\n" );
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document.write( "Edwin
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