document.write( "Question 917043: Solve the paired simultaneous equation
\n" ); document.write( "logx (base 2) + logy (base 2) = log36 (base 2)
\n" ); document.write( "logx (base 2) - logy (base 2) = log 9 (base 2) \r
\n" ); document.write( "\n" ); document.write( " if you can please show the working. \n" ); document.write( "

Algebra.Com's Answer #556487 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"log%282%2Cx%29+%2B+log+%282%2Cy%29+=+log+%28+2%2C36%29\"$ ..........eq.1
\n" ); document.write( " $\"log%28+2%2Cx%29+-+log+%28+2%2Cy%29+=+log++%282%2C9%29+\"$ .............eq.2
\n" ); document.write( "____________________________________________ add both\r
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\n" ); document.write( "\n" ); document.write( "

..........eq.1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"2log%282%2Cx%29+=+log+%28+2%2C36%29%2Blog+%282%2C9%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"log%282%2Cx%5E2%29+=+log+%28+2%2C36%2A9%29+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"log%282%2Cx%5E2%29+=+log+%28+2%2C324%29+\"$ if log same, then\r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2+=+324+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x+=+sqrt%28324+%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x+=+18\"$ or $\"x=-18\"$ \r
\n" ); document.write( "\n" ); document.write( "find $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( "if $\"x=18\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"log%282%2C18%29+%2B+log+%282%2Cy%29+=+log+%28+2%2C36%29+\"$ ..........eq.1\r
\n" ); document.write( "\n" ); document.write( " $\"log+%282%2Cy%29+=+log%282%2C36%29-log%282%2C18%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"log+%282%2Cy%29+=+log+%28+2%2C36%2F18%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"log+%282%2Cy%29+=+log+%28+2%2C2%29\"$ if log same, then\r
\n" ); document.write( "\n" ); document.write( " $\"y=2\"$ \r
\n" ); document.write( "\n" ); document.write( "if $\"+x=-18\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"log%282%2C-18%29+%2B+log+%282%2Cy%29+=+log+%28+2%2C36%29\"$ ..........eq.1\r
\n" ); document.write( "\n" ); document.write( " $\"log+%282%2Cy%29+=+log+%28+2%2C36%29-log%282%2C-18%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"log+%282%2Cy%29+=+log+%28+2%2C-36%2F18%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"log+%282%2Cy%29+=+log+%28+2%2C-2%29\"$ if log same, then\r
\n" ); document.write( "\n" ); document.write( " $\"y=-2\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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