document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=744924>Question 744924</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Express y as a function of x. What is the domain?<BR>\n" );
document.write( "a) log(base 2)xy = 3log(base 2)x<BR>\n" );
document.write( "b) log(base 5)y = 2log(base 5)x+1 + log(base 5)x-1<BR>\n" );
document.write( "b) log(base 3)y-3 = 1 + 2log(base 3)\r<BR>\n" );
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document.write( "Can you please help me out? Thanks so much in advance:)<BR>\n" );
document.write( "Can you also show all the steps because it would help me understand :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #453610 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=453610\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The problem states:\r<BR>\n" );
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document.write( "Express y as a function of x. What is the domain?<BR>\n" );
document.write( "a) log(base 2)xy = 3log(base 2)x<BR>\n" );
document.write( "b) log(base 5)y = 2log(base 5)x+1 + log(base 5)x-1<BR>\n" );
document.write( "b) log(base 3)y-3 = 1 + 2log(base 3) \r<BR>\n" );
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document.write( "First notice that each problem has the same log base on both sides of =\r<BR>\n" );
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document.write( "a) we can divide both sides of = by log(base 2) which gives us<BR>\n" );
document.write( "   xy = 3x and y = 3  (all rational numbers)\r<BR>\n" );
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document.write( "b) divide both sides of = by log(base 5) and we get<BR>\n" );
document.write( "   y = 2x+2 + x-1<BR>\n" );
document.write( "   y = x+1 (domain is all rational numbers)\r<BR>\n" );
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document.write( "c) divide both sides of = by log(base 3) and we get<BR>\n" );
document.write( "   y-3 = 1 + 2<BR>\n" );
document.write( "   y = 6  (domain is all rational numbers)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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