document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=509385>Question 509385</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5^x=2e^(x+1)   Solve for x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #341418 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=341418\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5^x =  2e^(x+1)\r<BR>\n" );
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document.write( "5^x = (2e^x)*(e)\r<BR>\n" );
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document.write( "(5^x)/(2e) =  e^x\r<BR>\n" );
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document.write( "(1/2e) =  e^x / 5^x\r<BR>\n" );
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document.write( "(1/2e) = (e/5)^x\r<BR>\n" );
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document.write( "(1/2e) = log(e/5)(e/5)^x\r<BR>\n" );
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document.write( "log(e/5)(1/2e) = x\r<BR>\n" );
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document.write( "Change of base formula\r<BR>\n" );
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document.write( "log(1/2e)/log(e/5) = x\r<BR>\n" );
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document.write( "x = 2.7782 <---- Answer\r<BR>\n" );
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document.write( " </SPAN>\n" );
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