document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=554086>Question 554086</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If log a=.5, log b=.3, and log c= 16, solve the following equation for x.\r<BR>\n" );
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document.write( "a^x b^x=c\r<BR>\n" );
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document.write( "Can somebody please try to guide me in the right direction? I do not want an answer to the problem, but only some guidance where to start.\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 #361214 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=361214\">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=+a%5Ex%2Ab%5Ex+=+c+ ALIGN=MIDDLE  ALT=\"+a%5Ex%2Ab%5Ex+=+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Suppose  I say <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+a%5Ex+ ALIGN=MIDDLE  ALT=\"+d+=+a%5Ex+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+e+=+b%5Ex+ ALIGN=MIDDLE  ALT=\"+e+=+b%5Ex+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then I have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%2Ae+=+c+ ALIGN=MIDDLE  ALT=\"+d%2Ae+=+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "It is true that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28%28+d%2Ae+%29%29+=+log%28d%29+%2B+log%28e%29+ ALIGN=MIDDLE  ALT=\"+log%28%28+d%2Ae+%29%29+=+log%28d%29+%2B+log%28e%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take the log of both sides of the original equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28%28+a%5Ex%2Ab%5Ex+%29%29+=+log%28%28+c+%29%29+ ALIGN=MIDDLE  ALT=\"+log%28%28+a%5Ex%2Ab%5Ex+%29%29+=+log%28%28+c+%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28%28+a%5Ex+%29%29+%2B+log%28%28+b%5Ex+%29%29+=+log%28%28+c+%29%29+ ALIGN=MIDDLE  ALT=\"+log%28%28+a%5Ex+%29%29+%2B+log%28%28+b%5Ex+%29%29+=+log%28%28+c+%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2Alog%28%28+a+%29%29+%2B+x%2Alog%28%28+b+%29%29+=+log%28%28+c+%29%29+ ALIGN=MIDDLE  ALT=\"+x%2Alog%28%28+a+%29%29+%2B+x%2Alog%28%28+b+%29%29+=+log%28%28+c+%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2A%28+log%28a%29+%2B+log%28b%29+%29+=+log%28%28+c+%29%29+ ALIGN=MIDDLE  ALT=\"+x%2A%28+log%28a%29+%2B+log%28b%29+%29+=+log%28%28+c+%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2A%28+.5+%2B+.3+%29+=+16+ ALIGN=MIDDLE  ALT=\"+x%2A%28+.5+%2B+.3+%29+=+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+16+%2F+.8+ ALIGN=MIDDLE  ALT=\"+x+=+16+%2F+.8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+20+ ALIGN=MIDDLE  ALT=\"+x+=+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Sorry, I did the whole thing.<BR>\n" );
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