document.write( "Question 396352: I need help with this Logarithmic problem in a simple to understand way, thank you. 4-2e^x=-23 \n" ); document.write( "
Algebra.Com's Answer #281232 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! 4-2e^x = -23 \n" ); document.write( "subtract 4 from both sides \n" ); document.write( "-2e^x = -23 - 4 \n" ); document.write( "-2e^x = -27 \n" ); document.write( ": \n" ); document.write( "Divide both sides by -2 \n" ); document.write( "e^x = +13.5 \n" ); document.write( "; \n" ); document.write( "Find the nat log of both sides \n" ); document.write( "ln(e^x) = ln(13.5) \n" ); document.write( "which is \n" ); document.write( "x*ln(e) = ln(13.5) \n" ); document.write( ": \n" ); document.write( "then nat log of e is 1 \n" ); document.write( "x*1 = ln(13.5) \n" ); document.write( ": \n" ); document.write( "find the ln of 13.5 \n" ); document.write( "x = 2.6027 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "You can check this solution on a good calc; enter: 4 - 2e^2.6027 results: 23.0 \n" ); document.write( " |