document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=106642>Question 106642</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Exponential equation without using logs.  Solve for x:\r<BR>\n" );
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document.write( "5^(-3x+1)=15625 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #77627 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=77627\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve for x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E%28-3x%2B1%29+=+15625 ALIGN=MIDDLE  ALT=\"5%5E%28-3x%2B1%29+=+15625\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Hint: Since you are not permitted to use logarithms, see if 15625 is a power of 5. Yes it is! <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15625+=+5%5E6 ALIGN=MIDDLE  ALT=\"15625+=+5%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E%28-3x%2B1%29+=+5%5E6 ALIGN=MIDDLE  ALT=\"5%5E%28-3x%2B1%29+=+5%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now use the fact that:<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5En+=+x%5Em ALIGN=MIDDLE  ALT=\"x%5En+=+x%5Em\"   DISABLED_style= \"max-width:90%; height:auto;\" > then n = m.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x%2B1+=+6 ALIGN=MIDDLE  ALT=\"-3x%2B1+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 1 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x+=+5 ALIGN=MIDDLE  ALT=\"-3x+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by -3.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-5%2F3 ALIGN=MIDDLE  ALT=\"x+=+-5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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