document.write( "Question 723751: Please help me solve this exponential equation: (e^x + e^-x) / (e^x - e^-x) = 3 \n" ); document.write( "

Algebra.Com's Answer #443349 by stanbon(75887) $\"\"$ $\"About$

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(e^x + e^-x) / (e^x - e^-x) = 3
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\n" ); document.write( "(e^x + (1/e^x))/ (e^x - (1/e^x)) = 3
\n" ); document.write( "----
\n" ); document.write( "(e^(2x) + 1)/e^x] / (e^(2x) -1)/e^x = 3
\n" ); document.write( "-----
\n" ); document.write( "[e^(2x) + 1)/(e^(2x)-1 = 3
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\n" ); document.write( "e^(2x) + 1 = 3e^(2x) - 3
\n" ); document.write( "----
\n" ); document.write( "2e^(2x) = 4
\n" ); document.write( "---
\n" ); document.write( "e^(2x) = 2
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\n" ); document.write( "2x = ln(2)
\n" ); document.write( "x = ln(2)/2
\n" ); document.write( "x = 0.3466
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "==============
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