document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=460753>Question 460753</A>: <I><SPAN STYLE=\"word-break: break-all;\"> im not sure of how to solve these problems,\r<BR>\n" );
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document.write( "1. log3(2x-1) + log(base 3)2 = 2<BR>\n" );
document.write( "2. 4(^3-2x = 12<BR>\n" );
document.write( "3. 3^x = 1/81<BR>\n" );
document.write( "4. 9^x - 6x3^x - 27 = 0\r<BR>\n" );
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document.write( "all working would be greatly appreciated, <BR>\n" );
document.write( "emily. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #319893 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=319893\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. log3(2x-1) + log(base 3)2 = 2<BR>\n" );
document.write( "2. 4(^3-2x = 12<BR>\n" );
document.write( "3. 3^x = 1/81<BR>\n" );
document.write( "4. 9^x - 6x3^x - 27 = 0 <BR>\n" );
document.write( "..<BR>\n" );
document.write( "1. log3(2x-1) + log(base 3)2 = 2<BR>\n" );
document.write( "Write as single log<BR>\n" );
document.write( "log3(2x-1)(2)=2<BR>\n" );
document.write( "convert to exponential form:(base(3) raised to log of number(2)=number((2x-1)(2)<BR>\n" );
document.write( "3^2=(2x-1)(2)<BR>\n" );
document.write( "9=4x-2<BR>\n" );
document.write( "4x=11<BR>\n" );
document.write( "x=11/4<BR>\n" );
document.write( "..<BR>\n" );
document.write( "2. 4(^3-2x = 12<BR>\n" );
document.write( "4^3-2x=12<BR>\n" );
document.write( "64-2x=12<BR>\n" );
document.write( "2x=64-12=52<BR>\n" );
document.write( "x=26<BR>\n" );
document.write( "..<BR>\n" );
document.write( "3. 3^x = 1/81<BR>\n" );
document.write( "3^x=1/3^4=3^-4<BR>\n" );
document.write( "x=-4<BR>\n" );
document.write( "..<BR>\n" );
document.write( "4. 9^x - 6x3^x - 27 = 0<BR>\n" );
document.write( "I believe this equation was meant to be written as follows:<BR>\n" );
document.write( "9^x - (6)3^x - 27 = 0<BR>\n" );
document.write( "3^2x-6*3^x-27=0<BR>\n" );
document.write( "(3^x+3)(3^x-9)=0<BR>\n" );
document.write( "3^x+3=0<BR>\n" );
document.write( "3^x&#8800;-3 (reject)<BR>\n" );
document.write( "3^x-9=0<BR>\n" );
document.write( "3^x=9=3^2<BR>\n" );
document.write( "x=2 </SPAN>\n" );
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