document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=392097>Question 392097</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve for x, and please show your work so I can figure out how to do it myself:<BR>\n" );
document.write( "3(5)^(2x-3)=6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #278279 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=278279\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3(5)^(2x-3)=6<BR>\n" );
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document.write( "Divide both sides by 3 to get:<BR>\n" );
document.write( "5^(2x-3) = 2<BR>\n" );
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document.write( "Take the log of both sides:<BR>\n" );
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document.write( "(2x-3)log(5) = log(2)<BR>\n" );
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document.write( "2x-3 = log(2)/log(5)<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "2x-3 = 0.4307<BR>\n" );
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document.write( "2x = 3.4307<BR>\n" );
document.write( "x = 1.7154<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================= </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );