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)\"\" \"About 
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
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\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
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