document.write( "Question 1019829: What is the solution set of the inequality $\"log%281%2F3%2Cx%5E2%2B3x%2B4%29+%3C=+-1\"$ ? \n" ); document.write( "

Algebra.Com's Answer #635749 by Edwin McCravy(20056) $\"\"$ $\"About$

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document.write( "Let the left side = y\r\n" );
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document.write( "Take the log base 10 of both sides\r\n" );
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document.write( "The original inequality was\r\n" );
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document.write( "So .  Substituting for y\r\n" );
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document.write( "We know that  is a negative \r\n" );
document.write( "number, so when we multiply both sides\r\n" );
document.write( "of the inequality by it, the inequality\r\n" );
document.write( "symbol will reverse:\r\n" );
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document.write( "Use a principle of logarithms to rewrite\r\n" );
document.write( "the right side:\r\n" );
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document.write( "Since raising to the -1 power is the same\r\n" );
document.write( "as taking the rciprocal, the above becomes:\r\n" );
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document.write( "Since logs base 10 are in ascending order,\r\n" );
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document.write( "That has critical numbers\r\n" );
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document.write( "Put those two values on a number line and\r\n" );
document.write( "choose a test point in each region to discover that\r\n" );
document.write( "the solution set is\r\n" );
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document.write( "  or \r\n" );
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document.write( "Edwin

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