document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=268916>Question 268916</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve3.7P=2.6^logP </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #197098 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=197098\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here is the original problem<BR>\n" );
document.write( "(i) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.7P=2.6%5ElogP ALIGN=MIDDLE  ALT=\"3.7P=2.6%5ElogP\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step 1 - take a log of both sides to get<BR>\n" );
document.write( "(ii) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%283.7P%29=log%282.6%5ElogP%29 ALIGN=MIDDLE  ALT=\"log%283.7P%29=log%282.6%5ElogP%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step 2 - using power rule on the right side we get<BR>\n" );
document.write( "(iv) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%283.7P%29=log%28P%29%2Alog%282.6%29 ALIGN=MIDDLE  ALT=\"log%283.7P%29=log%28P%29%2Alog%282.6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step 3 - using rules of logs on the left we get<BR>\n" );
document.write( "(v) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%283.7%29+%2B+log%28P%29=log%28P%29%2Alog%282.6%29 ALIGN=MIDDLE  ALT=\"log%283.7%29+%2B+log%28P%29=log%28P%29%2Alog%282.6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step 4 - subtracting log(P) we get<BR>\n" );
document.write( "(vi) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%283.7%29+=+log%28P%29%2Alog%282.6%29+-+log%28P%29 ALIGN=MIDDLE  ALT=\"log%283.7%29+=+log%28P%29%2Alog%282.6%29+-+log%28P%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step 5 - factoring, we get<BR>\n" );
document.write( "(vii) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%283.7%29+=+log%28P%29%2A%28log%282.6%29+-+1%29 ALIGN=MIDDLE  ALT=\"log%283.7%29+=+log%28P%29%2A%28log%282.6%29+-+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step 6 - divide to get<BR>\n" );
document.write( "(viii) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%283.7%29%2F%28log%282.6%29-1%29+=+log%28P%29 ALIGN=MIDDLE  ALT=\"log%283.7%29%2F%28log%282.6%29-1%29+=+log%28P%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step 7 - raise all to 10^ to get<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".\r<BR>\n" );
document.write( "\n" );
document.write( "(xi) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E%28log%283.7%29%2F%28log%282.6%29-1%29%29+=+P ALIGN=MIDDLE  ALT=\"10%5E%28log%283.7%29%2F%28log%282.6%29-1%29%29+=+P\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, we get<BR>\n" );
document.write( " P ~ .106846 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );