document.write( "Question 534433: What is the domain of the logarithmic equation? log(3x+1)(x-2) \n" ); document.write( "
Algebra.Com's Answer #351534 by fcabanski(1391)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "The log function log (x) is defined for only x>0.

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\n" ); document.write( "\n" ); document.write( "For this one it's like an equation that must be > 0.

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\n" ); document.write( "\n" ); document.write( "(3x+1)(x-2)>0 by the zero product rule both must be > 0.

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\n" ); document.write( "\n" ); document.write( "3x+1 >0 subtract 1 from both sides 3x >-1 divide both sides by 3. x > -1/3

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\n" ); document.write( "\n" ); document.write( "x-2 > 0 add 2 to both sides. x > 2

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\n" ); document.write( "\n" ); document.write( "The domain is (2, infinity) since any x = 2 or x<2 will make (x-2) <= 0 and thus will make the function undefined.\r
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