document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=61959>Question 61959</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve, expressing your answer in exact, simplified form.<BR>\n" );
document.write( "log<sub>b</sub>x = log<sub>b</sub>(x – 5) – log<sub>b</sub>(x + 7) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #42689 by </B><A HREF=/tutors/aboutme.mpl?userid=chitra><B>chitra(359)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=chitra><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=42689\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The given expression is: \r<BR>\n" );
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document.write( "log<sub>b</sub>x = log<sub>b</sub>(x – 5) – log<sub>b</sub>(x + 7)\r<BR>\n" );
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document.write( "This can be further written as: \r<BR>\n" );
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document.write( "0 = log<sub>b</sub>(x – 5) - log<sub>b</sub>(x + 7) - log<sub>b</sub>x \r<BR>\n" );
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document.write( "This implies: \r<BR>\n" );
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document.write( "log<sub>b</sub>(x - 5) - (log<sub>b</sub>(x + 7)+ log<sub>b</sub>x) = 0\r<BR>\n" );
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document.write( "log<sub>b</sub>(x - 5)- log<sub>b</sub>((x + 7)(x)) = 0 \r<BR>\n" );
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document.write( "log<sub>b</sub>((x - 5)/x(x + 7)) = 0\r<BR>\n" );
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document.write( "by the definition we get: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E0 ALIGN=MIDDLE  ALT=\"b%5E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%28x-5%29%28x%2B7%29 ALIGN=MIDDLE  ALT=\"x%2F%28x-5%29%28x%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+5%29%2Fx%28x%2B7%29 ALIGN=MIDDLE  ALT=\"%28x+-+5%29%2Fx%28x%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "x(x + 7) = x - 5 \r<BR>\n" );
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document.write( "This implies:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+7x+ ALIGN=MIDDLE  ALT=\"x%5E2+%2B+7x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = x - 5 \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+6x+-+5+=+0+ ALIGN=MIDDLE  ALT=\"x%5E2+%2B+6x+-+5+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "On solving this, we get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+5x+-+x+-+5+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+5x+-+x+-+5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(x - 5) (x - 1) = 0\r<BR>\n" );
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document.write( "Thus, x = 5, 1 \r<BR>\n" );
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