document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=64622>Question 64622</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve, and express you answer in exact form:  log(x) + ln(x) = 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47422 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=47422\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The first step is to get everything into the same base logarithm, by using the formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log+%2810%2Cx%29+=+%28ln+x%29%2F%28ln+10%29+ ALIGN=MIDDLE  ALT=\"log+%2810%2Cx%29+=+%28ln+x%29%2F%28ln+10%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "log(x) + ln(x) = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28ln+x%29%2F%28ln+10%29+%2Bln+x+=+1+ ALIGN=MIDDLE  ALT=\"%28ln+x%29%2F%28ln+10%29+%2Bln+x+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "You might want to clear the fraction by multiplying both sides times ln 10:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln+x+%2B+%28ln+10%29%2A%28ln+x%29+=+ln+10 ALIGN=MIDDLE  ALT=\"ln+x+%2B+%28ln+10%29%2A%28ln+x%29+=+ln+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Next, factor the ln x, which is a common factor on the left side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28ln+x%29+%2A%281+%2B+ln+10%29+=+ln+10 ALIGN=MIDDLE  ALT=\"%28ln+x%29+%2A%281+%2B+ln+10%29+=+ln+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide both sides by (1 + ln 10)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln+x+=+%28ln+10%29%2F%281%2B+ln+10%29+ ALIGN=MIDDLE  ALT=\"ln+x+=+%28ln+10%29%2F%281%2B+ln+10%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Raise both sides as a power of e:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+e%5E%28%28ln+10%29%2F%281%2B+ln+10%29%29+ ALIGN=MIDDLE  ALT=\"x+=+e%5E%28%28ln+10%29%2F%281%2B+ln+10%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "R^2 at SCC   \r<BR>\n" );
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document.write( "P.S.  Nice problem!!!<BR>\n" );
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