document.write( "Question 86909: solve for the value of x in (Inx)^2=Inx^2
\n" ); document.write( "is it x=1 or 2? \n" ); document.write( "

Algebra.Com's Answer #62853 by Nate(3500) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28ln%28+x+%29%29%5E2+=+ln%28+x%5E2+%29\"$
\n" ); document.write( " $\"e%5E%28ln%28+x+%29%29%5E2+=+x%5E2\"$
\n" ); document.write( " $\"e%5E%28ln%28+x+%29%2Aln%28+x+%29%29+=+x%5E2\"$
\n" ); document.write( " $\"%28e%5Eln%28+x+%29%29%5Eln%28+x+%29+=+x%5E2\"$
\n" ); document.write( " $\"x%5Eln%28+x+%29+=+x%5E2\"$
\n" ); document.write( " $\"ln%28+x+%29+=+2\"$
\n" ); document.write( " $\"x+=+e%5E2\"$
\n" ); document.write( "Simple Way:
\n" ); document.write( " $\"%28ln%28+x+%29%29%5E2+=+ln%28+x%5E2+%29\"$
\n" ); document.write( " $\"ln%28+x+%29%2Aln%28+x+%29+=+ln%28+x%5E2+%29\"$
\n" ); document.write( " $\"ln%28+x%5E%28+ln%28+x+%29+%29%29+=+ln%28+x%5E2+%29\"$
\n" ); document.write( " $\"x%5E%28+ln%28+x+%29+%29+=+x%5E2\"$
\n" ); document.write( " $\"ln%28+x+%29+=+2\"$
\n" ); document.write( " $\"x+=+e%5E2\"$
\n" ); document.write( "~Complete Solution~
\n" ); document.write( " $\"%28ln%28+x+%29%29%5E2+=+ln%28+x%5E2+%29\"$
\n" ); document.write( " $\"%28ln%28+x+%29%29%5E2+=+2%2Aln%28+x+%29\"$
\n" ); document.write( " $\"ln%28+x+%29%5E2+-+2%2Aln%28+x+%29+=+0\"$ Substitute: u = ln( x )
\n" ); document.write( " $\"u%5E2+-+2%2Au+=+0\"$
\n" ); document.write( " $\"u%28u+-+2%29+=+0\"$
\n" ); document.write( "u = 0 and u - 2 = 0
\n" ); document.write( "u = 0 and u = 2
\n" ); document.write( "ln( x ) = 0 and ln( x ) = 2
\n" ); document.write( "x = 1 and x = e^2
\n" ); document.write( " $\"graph%28400%2C200%2C-2%2C8%2C-5%2C5%2C%28ln%28+x+%29%29%5E2%2Cln%28+x%5E2+%29%29\"$ \n" ); document.write( "

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