document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=473893>Question 473893</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please help me solve this equation using a calculator and tell me the answer?\r<BR>\n" );
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document.write( "5^(x)=8^(2x-1)\r<BR>\n" );
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document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #325020 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=325020\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5^(x)=8^(2x-1)<BR>\n" );
document.write( "x*log(5) = (2x-1)*log(8) = 2x*log(8) - log(8)<BR>\n" );
document.write( "2x*log(8) - x*log(5) = log(8)<BR>\n" );
document.write( "x(log(64) - log(5)) = log(8)<BR>\n" );
document.write( "x*log(64/5) = log(8)<BR>\n" );
document.write( "x = log(8)/log(12.8)<BR>\n" );
document.write( "x =~ 0.81564 </SPAN>\n" );
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