document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=951923>Question 951923</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all real solutions to the equations, please explain how:\r<BR>\n" );
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document.write( "4log_5(8-x)=7\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "12(4^(3x))=120\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 #581344 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39630)</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=581344\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The form of each is very similar.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%2Alog%28b%2CX%29=r ALIGN=MIDDLE  ALT=\"k%2Alog%28b%2CX%29=r\"   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=log%28b%2CX%29=r%2Fk ALIGN=MIDDLE  ALT=\"log%28b%2CX%29=r%2Fk\"   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=b%5E%28r%2Fk%29=X ALIGN=MIDDLE  ALT=\"b%5E%28r%2Fk%29=X\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "possible other adjustments if X is an expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Alog%285%2C%28%288-x%29%29%29=7 ALIGN=MIDDLE  ALT=\"4%2Alog%285%2C%28%288-x%29%29%29=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but you might want to use Change Of Base formula.<BR>\n" );
document.write( "Ignoring that for now,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%285%2C%28%288-x%29%29%29=7%2F4 ALIGN=MIDDLE  ALT=\"log%285%2C%28%288-x%29%29%29=7%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(the rendering is not working too well for display)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E%287%2F4%29=8-x ALIGN=MIDDLE  ALT=\"5%5E%287%2F4%29=8-x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%5E%287%2F4%29=-8%2Bx ALIGN=MIDDLE  ALT=\"-5%5E%287%2F4%29=-8%2Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=8-5%5E%287%2F4%29 ALIGN=MIDDLE  ALT=\"x=8-5%5E%287%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You might want to use table of logarithms to handle that second term on the right,... or just use calculator.\r<BR>\n" );
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document.write( "x=-8.7185....<BR>\n" );
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