document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=64567>Question 64567</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I know the answer is no solution but i need to know how to work this problem please help\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=I+know+the+answer+is+no+solution+but+i+need+to+know+how+to+work+this+problem+please+help%0D%0A%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >6+log(2,(2x-4))=7+log(2,(3x)) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #45180 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=45180\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 6+log(2,(2x-4))=7+log(2,(3x))<BR>\n" );
document.write( "Keep in mind, the logs are base two.<BR>\n" );
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document.write( "log(2x-4)=1+log(3x)<BR>\n" );
document.write( "log(2x-4)-log(3x)=1<BR>\n" );
document.write( "log[(2x-4)/3x]=1<BR>\n" );
document.write( "Since the logs are base 2 you get:<BR>\n" );
document.write( "(2x-4)/3x=2^1<BR>\n" );
document.write( "2x-4=6x<BR>\n" );
document.write( "4x=-4<BR>\n" );
document.write( "x=-1<BR>\n" );
document.write( "Checking this in the original equation you get log(-3) which doesn't exist.<BR>\n" );
document.write( "So, no solution.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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