document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=36554>Question 36554</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the equation\r<BR>\n" );
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document.write( "3^x=500 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #22470 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=22470\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3^x=500\r<BR>\n" );
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document.write( "Take the ln of each side:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+ln%283%5Ex%29+=+ln+%28500%29+ ALIGN=MIDDLE  ALT=\"+ln%283%5Ex%29+=+ln+%28500%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "By law of logarithms:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2A+ln%283%29+=+ln+%28500%29+ ALIGN=MIDDLE  ALT=\"+x%2A+ln%283%29+=+ln+%28500%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, just divide both sides by ln(3):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28ln+%28500%29%29%2F%28ln%283%29%29+ ALIGN=MIDDLE  ALT=\"x+=+%28ln+%28500%29%29%2F%28ln%283%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "By calculator, the answer is approximately 5.65678 or probably round off to 5.66. \r<BR>\n" );
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document.write( "R^2 at SCC </SPAN>\n" );
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