document.write( "Question 374141: solve the following logarithim.... natural log of (x-2)-natural log of (x) = 4 \n" ); document.write( "

Algebra.Com's Answer #266258 by robertb(5830) $\"\"$ $\"About$

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$\"ln%28x-2%29+-+lnx+=+4\"$ ,
\n" ); document.write( " $\"ln%28%28x-2%29%2Fx%29+=+4\"$ ,
\n" ); document.write( " $\"%28x-2%29%2Fx+=+e%5E4\"$ , the equivalent exponential equation.
\n" ); document.write( " $\"x-2+=+e%5E4%2Ax\"$ ,after cross-multiplication.
\n" ); document.write( " $\"x+-+e%5E4%2Ax+=+2\"$ ,
\n" ); document.write( " $\"x%281-e%5E4%29+=+2\"$ ,
\n" ); document.write( " $\"x+=2%2F+%281-e%5E4%29\"$ .
\n" ); document.write( "This is approximately equal to -0.0373. Since this value won't satisfy the original equation, we discard this value, and conclude the equation has an empty solution set. \n" ); document.write( "

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