document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=22373>Question 22373</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, can anyone assist with this:\r<BR>\n" );
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document.write( "Obtain the value for v given that \r<BR>\n" );
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document.write( "S = 1.59t ^ (1-3v)\r<BR>\n" );
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document.write( "when S = 3.52 and t = 21.56\r<BR>\n" );
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document.write( "Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #11666 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=11666\">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=S+=+1.59t+%5E+%281-3v%29+ ALIGN=MIDDLE  ALT=\"S+=+1.59t+%5E+%281-3v%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.52+=+1.59%2A21.56+%5E+%281-3v%29+ ALIGN=MIDDLE  ALT=\"3.52+=+1.59%2A21.56+%5E+%281-3v%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide both sides by 1.59, but do NOT calculate and round off the value on the left side!  This can cause serious error propagation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.52%2F1.59=21.56+%5E+%281-3v%29+ ALIGN=MIDDLE  ALT=\"3.52%2F1.59=21.56+%5E+%281-3v%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Next, take the ln of both sides of the equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%283.52%2F1.59%29=+ln%2821.56+%5E+%281-3v%29+%29+ ALIGN=MIDDLE  ALT=\"ln%283.52%2F1.59%29=+ln%2821.56+%5E+%281-3v%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Use the law of logarithms  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln+M%5EN+=+N+%2Aln+M ALIGN=MIDDLE  ALT=\"ln+M%5EN+=+N+%2Aln+M\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%283.52%2F1.59%29=+%281-3v%29+%2Aln%2821.56+%29+ ALIGN=MIDDLE  ALT=\"ln%283.52%2F1.59%29=+%281-3v%29+%2Aln%2821.56+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Use the distributive property to remove the parentheses:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%283.52%2F1.59%29=+1%2Aln%2821.56%29+-3v+%2Aln%2821.56+%29+ ALIGN=MIDDLE  ALT=\"ln%283.52%2F1.59%29=+1%2Aln%2821.56%29+-3v+%2Aln%2821.56+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtract ln (21.56) from both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%283.52%2F1.59%29-+1%2Aln%2821.56%29+=+-3v+%2Aln%2821.56+%29+ ALIGN=MIDDLE  ALT=\"ln%283.52%2F1.59%29-+1%2Aln%2821.56%29+=+-3v+%2Aln%2821.56+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide both sides by -3ln(21.56):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28ln%283.52%2F1.59%29-+1%2Aln%2821.56%29%29%2F%28-3%2Aln%2821.56%29%29+=+%28-3v+%2Aln%2821.56+%29%29%2F%28-3%2Aln%2821.56%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28ln%283.52%2F1.59%29-+1%2Aln%2821.56%29%29%29%2F%28-3%2Aln%2821.56%29%29+=+v+ ALIGN=MIDDLE  ALT=\"%28%28ln%283.52%2F1.59%29-+1%2Aln%2821.56%29%29%29%2F%28-3%2Aln%2821.56%29%29+=+v+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Calculate with a calculator if you have one.  I got v = 0.2470673563 approximately.  It probably should be rounded off to v=0.247, since the problem is only accurate to three significant digits.\r<BR>\n" );
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document.write( "You can check this by substituting all the numbers into the original equation and calculating the result to see if it really works.  When I did this I found that my first attempt was WRONG!!  This answer checks!!\r<BR>\n" );
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document.write( "R^2 at SCC\r<BR>\n" );
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