document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=510981>Question 510981</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for X: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%286%2C5%29+ ALIGN=MIDDLE  ALT=\"+log%286%2C5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%286%2C%285x%2B1%29%29+ ALIGN=MIDDLE  ALT=\"+log%286%2C%285x%2B1%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%286%2C%28x%2B5%29%29+ ALIGN=MIDDLE  ALT=\"+log%286%2C%28x%2B5%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > +1\r<BR>\n" );
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document.write( "And we were asked to find it without a calculator. <BR>\n" );
document.write( "Being all log base 6, I originally tried to thus make it 5(5x+1)=(x+5)+1. Which would be (25x+5)=(x+6). I then subtracted x and 5 from both sides, getting (24x)=1. Divided by 24 to get x by itself, and I got x=(1/24). However, that was not one of the answers. The answers were along the lines of -19/24, 19/24, 24/19, -24/19. (Can't entirely recall what the exact options were, but those were close)\r<BR>\n" );
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document.write( "Anyway, if you could explain how to do this, that would be great, opposed to just answering the question. ^^ Or show a step by step or something, so I can understand how to do this in future problems. Please solve without calculator use ^^<BR>\n" );
document.write( "~ Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #341962 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=341962\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> --------------<BR>\n" );
document.write( "log(5)/log(6) + log(5x+1)/log(6) = log(x+5)/log(6) + 1<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Multiply thru by log(6) to get:<BR>\n" );
document.write( "log(5) + log(5x+1) = log(x+5) + log(6)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "log[5(5x+1)] = log[6(x+5)]<BR>\n" );
document.write( "----<BR>\n" );
document.write( "5(5x+1) = 6x+30<BR>\n" );
document.write( "25x+5 = 6x+30<BR>\n" );
document.write( "19x = 25<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = 25/19<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );