document.write( "Question 882278: log(x-9)=1-logx \n" ); document.write( "
Algebra.Com's Answer #532757 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"log%28%28x-9%29%29=1-log%28%28x%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"log%28%28x-9%29%29%2Blog%28%28x%29%29=1\"\r
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\n" ); document.write( "\n" ); document.write( "\"log%28%28x%29%29%2Blog%28%28x-9%29%29=1\"\r
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\n" ); document.write( "\n" ); document.write( "\"log%28%28x%2A%28x-9%29%29%29=1\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%2A%28x-9%29=10%5E1\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%2A%28x-9%29=10\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2-9x=10\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2-9x-10=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x-10%29%28x%2B1%29=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"x-10=0\" or \"x%2B1=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=10\" or \"x=-1\"\r
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\n" ); document.write( "\n" ); document.write( "The *possible* solutions are \"x=10\" or \"x=-1\"\r
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\n" ); document.write( "\n" ); document.write( "However, the domain of \"log%28%28x%29%29\" is \"x%3E0\"\r
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\n" ); document.write( "\n" ); document.write( "So \"x=-1\" is NOT possible as it's NOT in the domain of \"log%28%28x%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "The only solution is \"x=10\"
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