document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204649>Question 1204649</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that P>1 and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Flog%282%2CP%29 ALIGN=MIDDLE  ALT=\"1%2Flog%282%2CP%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Flog%283%2CP%29 ALIGN=MIDDLE  ALT=\"1%2Flog%283%2CP%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Flog%285%2CP%29 ALIGN=MIDDLE  ALT=\"1%2Flog%285%2CP%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Flog%287%2CP%29 ALIGN=MIDDLE  ALT=\"1%2Flog%287%2CP%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Flog%2811%2CP%29 ALIGN=MIDDLE  ALT=\"1%2Flog%2811%2CP%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Flog%28x%2CP%29 ALIGN=MIDDLE  ALT=\"1%2Flog%28x%2CP%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, find the integral value of x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #841037 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3816)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=841037\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Change of base formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28x%29%29+=+log%28%28x%29%29%2Flog%28%28b%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28x%29%29+=+log%28%28x%29%29%2Flog%28%28b%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the reciprocal of that is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Flog%28b%2C%28x%29%29+=+log%28%28b%29%29%2Flog%28%28x%29%29 ALIGN=MIDDLE  ALT=\"1%2Flog%28b%2C%28x%29%29+=+log%28%28b%29%29%2Flog%28%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This idea is used in the 2nd step shown below.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Flog%282%2C%28P%29%29+%2B+1%2Flog%283%2C%28P%29%29+%2B+1%2Flog%285%2C%28P%29%29+%2B+1%2Flog%287%2C%28P%29%29+%2B+1%2Flog%2811%2C%28P%29%29+=+1%2Flog%28x%2C%28P%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%28%282%29%29%2Flog%28%28P%29%29+%2B+log%28%283%29%29%2Flog%28%28P%29%29+%2B+log%28%285%29%29%2Flog%28%28P%29%29+%2B+log%28%287%29%29%2Flog%28%28P%29%29+%2B+log%28%2811%29%29%2Flog%28%28P%29%29+=++log%28%28x%29%29%2Flog%28%28P%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Use the idea mentioned earlier\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28log%28%282%29%29+%2B+log%28%283%29%29+%2B+log%28%285%29%29+%2B+log%28%287%29%29+%2B+log%28%2811%29%29%29%2Flog%28%28P%29%29+=++log%28%28x%29%29%2Flog%28%28P%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%28%282%2A3%2A5%2A7%2A11%29%29%2Flog%28%28P%29%29+=++log%28%28x%29%29%2Flog%28%28P%29%29 ALIGN=MIDDLE  ALT=\"log%28%282%2A3%2A5%2A7%2A11%29%29%2Flog%28%28P%29%29+=++log%28%28x%29%29%2Flog%28%28P%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the log rule log(A)+log(B) = log(A*B)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%282310%29%29%2Flog%28%28P%29%29+=++log%28%28x%29%29%2Flog%28%28P%29%29 ALIGN=MIDDLE  ALT=\"log%28%282310%29%29%2Flog%28%28P%29%29+=++log%28%28x%29%29%2Flog%28%28P%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%28%282310%29%29+=++log%28%28x%29%29 ALIGN=MIDDLE  ALT=\"log%28%282310%29%29+=++log%28%28x%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=x+=+2310 ALIGN=MIDDLE  ALT=\"x+=+2310\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "</font> </SPAN>\n" );
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