document.write( "Question 64590: Solve the following equation for x.\r
\n" );
document.write( "\n" );
document.write( "185.45=32.1e^1.23x \n" );
document.write( "
Algebra.Com's Answer #46573 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! 185.45 = 32.1 * e^1.23x \n" ); document.write( "Or \n" ); document.write( "e^1.23x = 185.45/32.1; divided both sides by 32.1 \n" ); document.write( "e^1.23x = 5.77725856 \n" ); document.write( ": \n" ); document.write( "Find the nat log of both sides, \n" ); document.write( "ln(e^1.23x) = ln(5.77725856) \n" ); document.write( ": \n" ); document.write( "The log equiv of exponents: \n" ); document.write( "1.23x * ln(e) = ln(577725856) \n" ); document.write( "1.23x = 1.753929; remember the ln of e is 1 \n" ); document.write( "x = 1.753929/1.23 \n" ); document.write( "x = 1.42596 (rounded) \n" ); document.write( ": \n" ); document.write( "Check our solution on a good calc like a Ti83: enter 32.1* (e^(1.23*1.42596) \n" ); document.write( "Should get 185.45 \n" ); document.write( ": \n" ); document.write( "Could you follow this OK? Any questions? \n" ); document.write( " \n" ); document.write( " |