document.write( "Question 1063781: 3^x<5^x \n" ); document.write( "
Algebra.Com's Answer #678904 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"3%5Ex\"\"%22%22%3C%22%22\"\"5%5Ex\"\r\n" );
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document.write( "Since logarithms of numbers are in the same\r\n" );
document.write( "order of inequality as the numbers they are the\r\n" );
document.write( "logarithms of, we can take the logs of both \r\n" );
document.write( "sides and retain the same inequality symbol <\r\n" );
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document.write( "\"log%28%283%5Ex%29%29\"\"%22%22%3C%22%22\"\"log%28%285%5Ex%29%29\"\r\n" );
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document.write( "Now we use the rule of logarithms that allows \r\n" );
document.write( "us to move the exponent of what the logarithm \r\n" );
document.write( "is of -- out in front of the logarithm as its \r\n" );
document.write( "coefficient:\r\n" );
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document.write( "\"x%2Alog%28%283%29%29\"\"%22%22%3C%22%22\"\"x%2Alog%28%285%29%29\"\r\n" );
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document.write( "\"x%2A0.4771212547\"\"%22%22%3C%22%22\"\"x%2A0.6989700043\"\r\n" );
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document.write( "Get 0 on the right by subtracting the entire\r\n" );
document.write( "right side from both sides:\r\n" );
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document.write( "\"x%2A0.4771212547-x%2A0.6989700043\"\"%22%22%3C%22%22\"\"0\"\r\n" );
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document.write( "Factor out x on the left\r\n" );
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document.write( "\"x%280.4771212547-0.6989700043%29\"\"%22%22%3C%22%22\"\"0\"\r\n" );
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document.write( "\"x%28-0.221848796%29\"\"%22%22%3C%22%22\"\"0\"\r\n" );
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document.write( "Divide both sides by -0.221848796, and since we are\r\n" );
document.write( "dividing both sides by a negative number, we must\r\n" );
document.write( "reverse the inequality sign from < to > :\r\n" );
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document.write( "\"x%28-0.221848796%29%2F%28-0.221848796%29\"\"%22%22%3E%22%22\"\"0%2F%28-0.221848796%29\"\r\n" );
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document.write( "\"x\"\"%22%22%3E%22%22\"\"0\"   <--solution\r\n" );
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document.write( "Edwin

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