document.write( "Question 340020: does ln(2)ln(8y)=ln(16y) \n" ); document.write( "

Algebra.Com's Answer #243684 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
If I write $\"e%5Ea+=+2\"$
\n" ); document.write( "and $\"e%5Eb+=+8y\"$ ,
\n" ); document.write( "then $\"a+=+ln%282%29\"$ and
\n" ); document.write( " $\"b+=+ln%288y%29\"$
\n" ); document.write( "From the first 2 equations, I can say
\n" ); document.write( " $\"e%5Ea+%2A+e%5Eb+=+16y\"$
\n" ); document.write( " $\"e%5E%28a+%2B+b%29+=+16y\"$ (from rules of exponents)
\n" ); document.write( "Another way to write this is
\n" ); document.write( " $\"ln%2816y%29+=+a+%2B+b\"$ , or
\n" ); document.write( " $\"ln%2816y%29+=+ln%282%29+%2B+ln%288y%29\"$
\n" ); document.write( "This contradicts the assumption in the problem,
\n" ); document.write( "so the answer is no\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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