document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=75928>Question 75928</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am trying to solve the following equation:\r<BR>\n" );
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document.write( "log_5 x/125 = log_7(49x^3)\r<BR>\n" );
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document.write( "This is what I have tried...where am I going wrong?\r<BR>\n" );
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document.write( "log_5 (x) - log_5 (5^3) = log_7(7^2) + log_7 (x^3)<BR>\n" );
document.write( "log_5 (x) - 3 = 2 + 3 log_7 (x)<BR>\n" );
document.write( "-5 = x(3 log_7 - log_5)<BR>\n" );
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document.write( "Please help....when I now divide...I get x to be undefined?<BR>\n" );
document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54521 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=54521\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You're fine until the last step...you \"factor out\" the argument of the two logs, leaving undefined values (log_7 and log_5 of what?)...You need to get the bases of the logs the same (like common denominators for fractions).\r<BR>\n" );
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document.write( "-5=3log_7(x)-log_5(x)... this equals<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283+%28log+%28x%29%29%29%2F%28log+%287%29%29-+%28log+%28x%29%29%2F%28log+%285%29%29 ALIGN=MIDDLE  ALT=\"%283+%28log+%28x%29%29%29%2F%28log+%287%29%29-+%28log+%28x%29%29%2F%28log+%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >... all bases now the same\r<BR>\n" );
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document.write( "multiplying by log 7 and log 5 and factoring gives...-5 log7 log5 = logx (3 log5 - log7)...dividing by (3 log5 - log7) gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28x%29=%28-5%28log7%29%28log5%29%29%2F%283%28log5%29-%28log7%29%29 ALIGN=MIDDLE  ALT=\"log%28x%29=%28-5%28log7%29%28log5%29%29%2F%283%28log5%29-%28log7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...so x=0.00437... </SPAN>\n" );
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