document.write( "Question 1122979: Solve x in terms of y. \r
\n" ); document.write( "\n" ); document.write( "Question:
\n" ); document.write( "y = (e^x + e^-x)/(e^x - e^-x)\r
\n" ); document.write( "\n" ); document.write( "Answer:
\n" ); document.write( "x= 1/2 ln ((y+1)/(y-1))\r
\n" ); document.write( "\n" ); document.write( "I have the answer with me, but I don’t know how to solve the question step by step. \r
\n" ); document.write( "\n" ); document.write( "Thank you so much for the help. \n" ); document.write( "
Algebra.Com's Answer #739170 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\"y+=+%28e%5Ex+%2B+e%5E%28-x%29%29%2F%28e%5Ex+-+e%5E%28-x%29%29\"\r\n" );
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document.write( "Multiply right side by \"e%5Ex%2Fe%5Ex\"\r\n" );
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document.write( "\"y+=+expr%28e%5Ex%2Fe%5Ex%29%28%28e%5Ex+%2B+e%5E%28-x%29%29%2F%28e%5Ex+-+e%5E%28-x%29%29%29\"\r\n" );
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document.write( "Simplify:\r\n" );
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document.write( "\"y+=+%28e%5E%282x%29+%2B+e%5E0%29%2F%28e%5E%282x%29+-+e%5E0%29\"\r\n" );
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document.write( "Simplify:\r\n" );
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document.write( "\"y+=+%28e%5E%282x%29+%2B+1%29%2F%28e%5E%282x%29+-+1%29\"\r\n" );
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document.write( "Multiply both sides by \"e%5E%282x%29-1\"\r\n" );
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document.write( "\"y%28e%5E%282x%29+-+1%29+=+e%5E%282x%29+%2B+1\"\r\n" );
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document.write( "Distribute on left:\r\n" );
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document.write( "\"y%2Ae%5E%282x%29+-+y+=+e%5E%282x%29+%2B+1\"\r\n" );
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document.write( "Get terms in \"e%5E%282x%29\" on left side, others on right:\r\n" );
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document.write( "\"y%2Ae%5E%282x%29+-++e%5E%282x%29+=+y+%2B+1\"\r\n" );
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document.write( "Factor out \"e%5E%282x%29\" on the left side:\r\n" );
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document.write( "\"e%5E%282x%29%28y-1%29+=+y+%2B+1\"\r\n" );
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document.write( "Divide both sides by y-1\r\n" );
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document.write( "\"e%5E%282x%29+=+%28y+%2B+1%29%2F%28y-1%29\"\r\n" );
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document.write( "Take natural logs of both sides:\r\n" );
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document.write( "\"ln%28e%5E%282x%29%29+=+ln%28%28y+%2B+1%29%2F%28y-1%29%29\"\r\n" );
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document.write( "\"2x%2Aln%28e%29+=+ln%28%28y+%2B+1%29%2F%28y-1%29%29\"\r\n" );
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document.write( "\"2x%281%29+=+ln%28%28y+%2B+1%29%2F%28y-1%29%29\"\r\n" );
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document.write( "\"2x+=+ln%28%28y+%2B+1%29%2F%28y-1%29%29\"\r\n" );
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document.write( "Multiply both sides by \"1%2F2\"\r\n" );
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document.write( "\"expr%281%2F2%292x+=+expr%281%2F2%29ln%28%28y+%2B+1%29%2F%28y-1%29%29\"\r\n" );
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document.write( "\"x+=+expr%281%2F2%29ln%28%28y+%2B+1%29%2F%28y-1%29%29\"\r\n" );
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document.write( "Edwin
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