document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=22376>Question 22376</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello can anyone help with the following:\r<BR>\n" );
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document.write( "Given x=P/Q*(1 + lnr)<BR>\n" );
document.write( "evaluate r when x = 0.34  P=1.08 and Q = 1.84\r<BR>\n" );
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document.write( "Many thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #11670 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=11670\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=P%2FQ%2A%281+%2B+lnr%29 ALIGN=MIDDLE  ALT=\"x=P%2FQ%2A%281+%2B+lnr%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.34=%281.08%2F1.84%29%2A%281+%2B+ln+r+%29+ ALIGN=MIDDLE  ALT=\"0.34=%281.08%2F1.84%29%2A%281+%2B+ln+r+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply both sides by the reciprocal of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.08%2F1.84 ALIGN=MIDDLE  ALT=\"1.08%2F1.84\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.84%2F1.08 ALIGN=MIDDLE  ALT=\"1.84%2F1.08\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.34=%281.08%2F1.84%29%2A%281+%2B+ln+r+%29+ ALIGN=MIDDLE  ALT=\"0.34=%281.08%2F1.84%29%2A%281+%2B+ln+r+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281.84%2F1.08%29%2A0.34=%281.84%2F1.08%29%2A%281.08%2F1.84%29%2A%281+%2B+ln+r+%29+ ALIGN=MIDDLE  ALT=\"+%281.84%2F1.08%29%2A0.34=%281.84%2F1.08%29%2A%281.08%2F1.84%29%2A%281+%2B+ln+r+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281.84%2F1.08%29%2A0.34=%281+%2B+ln+r+%29+ ALIGN=MIDDLE  ALT=\"+%281.84%2F1.08%29%2A0.34=%281+%2B+ln+r+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtract 1 from each side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281.84%2F1.08%29%2A0.34-1+=+ln+r+%29+ ALIGN=MIDDLE  ALT=\"+%281.84%2F1.08%29%2A0.34-1+=+ln+r+%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, using the famous formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%28ln+x%29=+x ALIGN=MIDDLE  ALT=\"e%5E%28ln+x%29=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+e%5E%28%281.84%2F1.08%29%2A0.34-1%29+=+e%5E%28ln+r%29+=+r+ ALIGN=MIDDLE  ALT=\"+e%5E%28%281.84%2F1.08%29%2A0.34-1%29+=+e%5E%28ln+r%29+=+r+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The calculation is approximately:  0.6565602987, rounding it off to 0.66.\r<BR>\n" );
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document.write( "Forthermore, I was able to check this answer by storing the calculator value of substituting this value and the other values given in the problem in order to calculate the right side.  Using the calculator value of r, you get .34, which is the value of x on the left side of the equation!  It DOES check!\r<BR>\n" );
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document.write( "R^2 at SCC </SPAN>\n" );
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