document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149931>Question 149931</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321356918/algebrahomeworkh>college algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I have a question in regards to a problem that was already submitted and solved. THe question number is 149823, and it was solved by, vleith(790). THe question i have is around the second problem. I am having trouble understanding how we got the equation or answer of  (1-(0.5)^n/14)= 2.5/5.58, and the next step says -(0.5)^n/14 = -0.552. How did we get - 0.552? and i am hoping this will help me understand the rest of the this problem. but if there is anyway of explaining the following steps to solve for this would be helpful. <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #110038 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=110038\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 1-(0.5)^{\frac{n}{14}}= \frac{2.5}{5.58}\"> Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 1-(0.5)^{\frac{n}{14}}= 0.448\"> Divide <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.5%2F5.58 ALIGN=MIDDLE  ALT=\"2.5%2F5.58\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.448 ALIGN=MIDDLE  ALT=\"0.448\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE -(0.5)^{\frac{n}{14}}= 0.448-1\"> Subtract 1 from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE -(0.5)^{\frac{n}{14}}= -0.552\"> Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE -(0.5)^{n}= (-0.552)^{14}\"> Raise both sides to the 14th power. This eliminates the \"14\" in the denominator of the exponent.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE -(0.5)^{n}= 0.00024\"> Raise -0.552 to the 14th power to get 0.00024 \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE (0.5)^{n}= -0.00024\"> Divide both sides by -1.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \log_{10}\left((0.5)^{n}\right)= \log_{10}\left(0.00024\right)\"> Take the log of both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE n\log_{10}\left(0.5\right)= \log_{10}\left(0.00024\right)\"> Rewrite the left side using the identity  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE n= \frac{\log_{10}\left(0.00024\right)}{\log_{10}\left(0.5\right)}\"> Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%280.5%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%280.5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE n= 12.025\"> Evaluate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%280.00024%29%29%2Flog%2810%2C%280.5%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%280.00024%29%29%2Flog%2810%2C%280.5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > with a calculator to get 12.025\r<BR>\n" );
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document.write( "So the approximate answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=12.025 ALIGN=MIDDLE  ALT=\"n=12.025\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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