document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=880340>Question 880340</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with this problem:\r<BR>\n" );
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document.write( "Find the solution using common logarithms, and two-decimal-place approximation of the solution.\r<BR>\n" );
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document.write( "4^x - 3(4^-x) = 8\r<BR>\n" );
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document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #531373 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=531373\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The equation can take a quadratic form.<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=4%5Ex ALIGN=MIDDLE  ALT=\"u=4%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and solve this for u, first.\r<BR>\n" );
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document.write( "Skipping the substitution and the show of steps,....<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%5E2-8u-3=0 ALIGN=MIDDLE  ALT=\"u%5E2-8u-3=0\"   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=4%5Ex=%288%2B-+3sqrt%286%29%29%2F2 ALIGN=MIDDLE  ALT=\"4%5Ex=%288%2B-+3sqrt%286%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----Can you continue and finish from here?\r<BR>\n" );
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document.write( "Taking logs of both sides and solve for x, solutions before making the approximations:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=log%28%28%288-3sqrt%286%29%29%2F2%29%29%2Flog%28%284%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x=log%28%28%288-3sqrt%286%29%29%2F2%29%29%2Flog%28%284%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  OR  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=log%28%28%288%2B3sqrt%286%29%29%2F2%29%29%2Flog%28%284%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x=log%28%28%288%2B3sqrt%286%29%29%2F2%29%29%2Flog%28%284%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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