document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203523>Question 1203523</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello everyone, I am doing some problems on logarithms but was struggling with a couple of them. I will post them one at a time like the rules mandate.\r<BR>\n" );
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document.write( "Suppose that x=ln(A) and y=ln(B). Write the following expression in terms of x and y (so there won't be an A or B).\r<BR>\n" );
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document.write( "ln(A^5 * squareroot B)=? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #839158 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=839158\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "Suppose that \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x=ln%28A%29++ ALIGN=MIDDLE  ALT=\"+x=ln%28A%29++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y=ln%28B%29+ ALIGN=MIDDLE  ALT=\"+y=ln%28B%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Write the following expression in terms of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+ ALIGN=MIDDLE  ALT=\"+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (so there won't be an <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+or+%7B%7B%7B+B+ ALIGN=MIDDLE  ALT=\"+A+or+%7B%7B%7B+B+\"   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=+ln%28A%5E5+%2A+sqrt+%28B%29%29+ ALIGN=MIDDLE  ALT=\"+ln%28A%5E5+%2A+sqrt+%28B%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/plot-formula.mpl?expression=+x=ln%28A%29++ ALIGN=MIDDLE  ALT=\"+x=ln%28A%29++\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+e%5Ex++ ALIGN=MIDDLE  ALT=\"+A+=+e%5Ex++\"   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=+y=ln%28B%29+ ALIGN=MIDDLE  ALT=\"+y=ln%28B%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+B=e%5Ey+ ALIGN=MIDDLE  ALT=\"+B=e%5Ey+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then substitute in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+ln%28A%5E5+%2A+sqrt+%28B%29%29+ ALIGN=MIDDLE  ALT=\"+ln%28A%5E5+%2A+sqrt+%28B%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/plot-formula.mpl?expression=+ln%28%28e%5Ex%29%5E5+%2A+sqrt+%28e%5Ey%29%29+ ALIGN=MIDDLE  ALT=\"+ln%28%28e%5Ex%29%5E5+%2A+sqrt+%28e%5Ey%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/plot-formula.mpl?expression=+ln%28%28e%5E5x%29+%2A+%28e%5Ey%29%5E%281%2F2%29%29+ ALIGN=MIDDLE  ALT=\"+ln%28%28e%5E5x%29+%2A+%28e%5Ey%29%5E%281%2F2%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/plot-formula.mpl?expression=+ln%28%28e%5E%285x+%2By%2F2%29%29%29+ ALIGN=MIDDLE  ALT=\"+ln%28%28e%5E%285x+%2By%2F2%29%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/plot-formula.mpl?expression=+5x+%2B+y%2F2+ ALIGN=MIDDLE  ALT=\"+5x+%2B+y%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> answer\r<BR>\n" );
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document.write( " </SPAN>\n" );
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