document.write( "Question 427374: Solve for t: 3e^t/2-12=0 \n" ); document.write( "

Algebra.Com's Answer #297227 by Gogonati(855) $\"\"$ $\"About$

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Solve: $\"3e%5E%28t%2F2%29-12=0\"$ (note: the unclear power is t/2)\r
\n" ); document.write( "\n" ); document.write( " $\"3%28e%5E%28t%2F2%29-4%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"e%5E%28t%2F2%29-4=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"e%5E%28t%2F2%29=4\"$ Take the ln of both sides:\r
\n" ); document.write( "\n" ); document.write( " $\"ln%28e%5E%28t%2F2%29%29=ln%284%29\"$ \r
\n" ); document.write( "\n" ); document.write( "(t/2)*ln(e)=ln(4)=> t/2=ln(4) => t=2ln(4) (note:ln(e)=1) \n" ); document.write( "

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