document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=242094>Question 242094</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help on how to solve a logarithmic Equation.  The question is <BR>\n" );
document.write( "3 Log (base 2) x+1 = 7\r<BR>\n" );
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document.write( "When I tried putting this equation into exponential form, I got <BR>\n" );
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document.write( "2^7 = (x+1)^3.  However, when I solved for this, I did not end up with <BR>\n" );
document.write( "the answer that is needed.  I ended up looking up the answer in the back of the book so that i could see if i could backtrack from there, but it was simply 4.\r<BR>\n" );
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document.write( "                                  Thanks,<BR>\n" );
document.write( "                                          dmc93x@yahoo.com </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #177227 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=177227\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Well, the back of the book missed it by <b><i>that</i></b> much.\r<BR>\n" );
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document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\ =\ 4\">, then <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\ +\ 1\ =\ 5\">, and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 5^3\ =\ 125\">.  But <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 2^7\ =\ 128\">.  That tells us that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> has to be a little bit bigger than 4, i.e. precisely the cube root of 128 minus 1.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 2^7\ =\ (x\ +\ 1)^3\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ +\ 1\ =\ \sqrt[3]{128}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ 4\sqrt[3]{2}\ -\ 1\ \approx\ 4.04\">\r<BR>\n" );
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document.write( "Now, if perchance your text book gave you instructions to round to the nearest whole number, then 4 is, in fact, the correct answer. You might also want to re-check the answer in the back to make sure the decimal part of the answer didn't wrap to the next line.  Barring any of that, write letters to the publisher and the author suggesting that they hire a proofreader next time they get it into their head to publish a textbook.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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