document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=673239>Question 673239</A>: <I><SPAN STYLE=\"word-break: break-all;\"> given,     <BR>\n" );
document.write( "                ln(3y+2)=5ln(x-1)-ln(2-x)-x\r<BR>\n" );
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document.write( "1)determine the range of x and y.\r<BR>\n" );
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document.write( "2)find y explicitly as a function of x.\r<BR>\n" );
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document.write( "thanks.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #418531 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=418531\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ln(3y+2)=5ln(x-1)-ln(2-x)-x <BR>\n" );
document.write( "1)determine the range of x and y.<BR>\n" );
document.write( "Those anti-logs must ALL be positive.<BR>\n" );
document.write( "y has to be > -2/3<BR>\n" );
document.write( "x has to be greater than 1 but less than 2<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Domain: All Real Numbers greater than 1 but less than 2<BR>\n" );
document.write( "Range: All Real Numbers greater than -2/3<BR>\n" );
document.write( "---- <BR>\n" );
document.write( "2)find y explicitly as a function of x.<BR>\n" );
document.write( "ln(3y+2) = ln[(x-1)^5/(2-x)] - x<BR>\n" );
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document.write( "That looks like a mess but here goes:<BR>\n" );
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document.write( "3y+2 = 10^[ln[(x-1)^5/(2-x)] - x]<BR>\n" );
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document.write( "y = [10^[ln[(x-1)^5/(2-x)] - x]- 2]/3<BR>\n" );
document.write( "=============================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================<BR>\n" );
document.write( " \r<BR>\n" );
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document.write( " </SPAN>\n" );
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