document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=689680>Question 689680</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the exponential equation algebraically. Show steps\r<BR>\n" );
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document.write( "3^2x-1=5^x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #426146 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=426146\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the exponential equation algebraically. Show steps <BR>\n" );
document.write( "3^(2x-1) = 5^x\r<BR>\n" );
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document.write( "(2x-1)log(3) = xlog(5)<BR>\n" );
document.write( "Combine the \"x\" terms and factor out the \"x\":<BR>\n" );
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document.write( "[2log(3)-log(5)]x = log(3)<BR>\n" );
document.write( "x = log(3)/[log(9/5)]<BR>\n" );
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document.write( "x = 1.8691<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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