document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198952>Question 198952</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello!\r<BR>\n" );
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document.write( "Use the Laws of Logarithms to combine the expression. \r<BR>\n" );
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document.write( "log(x) + 1/4log(x^2+1)+5log(x-1)\r<BR>\n" );
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document.write( "thanks for your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #149438 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=149438\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%28x%29%29%2B%281%2F4%29log%2810%2C%28x%5E2%2B1%29%29%2B5log%2810%2C%28x-1%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%28x%29%29%2B%281%2F4%29log%2810%2C%28x%5E2%2B1%29%29%2B5log%2810%2C%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%28x%29%29%2Blog%2810%2C%28%28x%5E2%2B1%29%5E%281%2F4%29%29%29%2Blog%2810%2C%28%28x-1%29%5E5%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite the logs using the identity  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2Alog%28b%2C%28x%29%29=log%28b%2C%28x%5Ey%29%29 ALIGN=MIDDLE  ALT=\"y%2Alog%28b%2C%28x%29%29=log%28b%2C%28x%5Ey%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%2810%2C%28x%29%29%2Blog%2810%2C%28root%284%2Cx%5E2%2B1%29%29%29%2Blog%2810%2C%28%28x-1%29%5E5%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Convert to radical notation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%28x%2Aroot%284%2Cx%5E2%2B1%29%2A%28x-1%29%5E5%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%28x%2Aroot%284%2Cx%5E2%2B1%29%2A%28x-1%29%5E5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the logs using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28A%29%29%2Blog%28b%2C%28B%29%29=log%28b%2C%28A%2AB%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28A%29%29%2Blog%28b%2C%28B%29%29=log%28b%2C%28A%2AB%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%28x%29%29%2B%281%2F4%29log%2810%2C%28x%5E2%2B1%29%29%2B5log%2810%2C%28x-1%29%29=log%2810%2C%28x%2Aroot%284%2Cx%5E2%2B1%29%2A%28x-1%29%5E5%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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