document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=928299>Question 928299</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. log2(x-3)=3-log2(x-1) (the base is log 2)<BR>\n" );
document.write( "2. 6log7(x^2-1)-5log7(x-1)  (the base is log 7)<BR>\n" );
document.write( " For the first problem i need to solve it<BR>\n" );
document.write( "and for the 2nd problem i need to express it as a single logarithm. <BR>\n" );
document.write( "I have been trying to solve this but I am always off on my answers. I need to know how it is solve step by step. Thank you so much.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #563578 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=563578\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. solve it\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C%28x-3%29%29=3-log%282%28x-1%29%29 ALIGN=MIDDLE  ALT=\"log%282%2C%28x-3%29%29=3-log%282%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C%28x-3%29%29%2Blog%282%28x-1%29%29=3 ALIGN=MIDDLE  ALT=\"log%282%2C%28x-3%29%29%2Blog%282%28x-1%29%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C%28%28x-3%29%28x-1%29%29%29=3 ALIGN=MIDDLE  ALT=\"log%282%2C%28%28x-3%29%28x-1%29%29%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...in base <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%28%28x-3%29%28x-1%29%29%29%2Flog%282%29=3 ALIGN=MIDDLE  ALT=\"log%28%28%28x-3%29%28x-1%29%29%29%2Flog%282%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%28%28x-3%29%28x-1%29%29%29=3log%282%29 ALIGN=MIDDLE  ALT=\"log%28%28%28x-3%29%28x-1%29%29%29=3log%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%28%28x-3%29%28x-1%29%29%29=log%282%5E3%29 ALIGN=MIDDLE  ALT=\"log%28%28%28x-3%29%28x-1%29%29%29=log%282%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%28%28x-3%29%28x-1%29%29%29=log%288%29 ALIGN=MIDDLE  ALT=\"log%28%28%28x-3%29%28x-1%29%29%29=log%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...if log. same, then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%28x-1%29=8 ALIGN=MIDDLE  ALT=\"%28x-3%29%28x-1%29=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > is same too; so, solve it for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-x-3x%2B3=8 ALIGN=MIDDLE  ALT=\"x%5E2-x-3x%2B3=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x%2B3-8=0 ALIGN=MIDDLE  ALT=\"x%5E2-4x%2B3-8=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x-5=0 ALIGN=MIDDLE  ALT=\"x%5E2-4x-5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx-5x-5=0 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx-5x-5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >...group\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2Bx%29-%285x%2B5%29=0 ALIGN=MIDDLE  ALT=\"%28x%5E2%2Bx%29-%285x%2B5%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x%2B1%29-5%28x%2B1%29=0 ALIGN=MIDDLE  ALT=\"x%28x%2B1%29-5%28x%2B1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%29%28x%2B1%29=0 ALIGN=MIDDLE  ALT=\"%28x-5%29%28x%2B1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "solutions:\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-5=0 ALIGN=MIDDLE  ALT=\"x-5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=5%29 ALIGN=MIDDLE  ALT=\"highlight%28x=5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...your answer\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1=0 ALIGN=MIDDLE  ALT=\"x%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1 ALIGN=MIDDLE  ALT=\"x=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >...reject negative value for log\r<BR>\n" );
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document.write( "2. express it as a single logarithm\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6log%287%2C%28x%5E2-1%29%29-5log%287%2C%28x-1%29%29 ALIGN=MIDDLE  ALT=\"6log%287%2C%28x%5E2-1%29%29-5log%287%2C%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%287%2C%28x%5E2-1%29%5E6%29-log%287%2C%28x-1%29%5E5%29 ALIGN=MIDDLE  ALT=\"log%287%2C%28x%5E2-1%29%5E6%29-log%287%2C%28x-1%29%5E5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%287%2C%28%28x%5E2-1%29%5E6%2F%28x-1%29%5E5%29%29 ALIGN=MIDDLE  ALT=\"log%287%2C%28%28x%5E2-1%29%5E6%2F%28x-1%29%5E5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >....since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-1%29%5E6=%28%28x-1%29%28x%2B1%29%29%5E6=%28x-1%29%5E6%28x%2B1%29%5E6 ALIGN=MIDDLE  ALT=\"%28x%5E2-1%29%5E6=%28%28x-1%29%28x%2B1%29%29%5E6=%28x-1%29%5E6%28x%2B1%29%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we will have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%287%2C%28%28%28x-1%29%5E6%28x%2B1%29%5E6%29%2F%28x-1%29%5E5%29%29%29%29 ALIGN=MIDDLE  ALT=\"log%287%2C%28%28%28x-1%29%5E6%28x%2B1%29%5E6%29%2F%28x-1%29%5E5%29%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%287%2C%28%28%28x-1%29%5Ecross%286%29%5E1%28x%2B1%29%5E6%29%2Fcross%28%28x-1%29%5E5%291%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%287%2C%28%28x-1%29%28x%2B1%29%5E6%29%29 ALIGN=MIDDLE  ALT=\"log%287%2C%28%28x-1%29%28x%2B1%29%5E6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );