document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=883945>Question 883945</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 8.9=(2/3)log (E/.007^9) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #533926 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=533926\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your equation is:\r<BR>\n" );
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document.write( "8.9 = (2/3) * log(E / .007^9)\r<BR>\n" );
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document.write( "since log(E / .007^9) = log(E) - log(.007^9), your equation becomes:\r<BR>\n" );
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document.write( "8.9 = (2/3) * [ log(E) - log(.007^9) ]\r<BR>\n" );
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document.write( "simplify this to get:\r<BR>\n" );
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document.write( "8.9 = (2/3) * log(E) - (2/3) * log(.007^9)\r<BR>\n" );
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document.write( "add (2/3) * log(.007^9) to both sides of this equation to get:\r<BR>\n" );
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document.write( "8.9 + (2/3) * log(.007^9) = (2/3) * log(E)\r<BR>\n" );
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document.write( "divide both sides of this equation by (2/3) to get:\r<BR>\n" );
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document.write( "(8.9 + (2/3) * log(.007^9) / (2/3) = log(E)\r<BR>\n" );
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document.write( "solve for log(E) to get:\r<BR>\n" );
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document.write( "log(E) = -6.04411764\r<BR>\n" );
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document.write( "since y = log(x) if and only if 10^x = y, then:\r<BR>\n" );
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document.write( "let x = E and y = -6.04411764 and you get:\r<BR>\n" );
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document.write( "10^(-6.04411764) = E which means that E = 9.034047301 * 10^-7.\r<BR>\n" );
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document.write( "that should be your answer.\r<BR>\n" );
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document.write( "replace E in your original equation with that and the equation should be true.\r<BR>\n" );
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document.write( "i did and i got 8.9 = 8.9 which confirms that the answer is correct.\r<BR>\n" );
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document.write( "the following picture shows the progression using the online scientific calculator by <a  rel=nofollow HREF= \"http://www.alcula.com/calculators/scientific-calculator/\" target = \"_blank\">***** ALCULA *****</a>\r<BR>\n" );
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document.write( "here's the picture:\r<BR>\n" );
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document.write( "in the picture, the underlined numbers on the left are the index to ans(x) where x = 0 to 3.\r<BR>\n" );
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document.write( "you got:\r<BR>\n" );
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document.write( "ans(1) = log(E)<BR>\n" );
document.write( "ans(2) = E<BR>\n" );
document.write( "ans(3) = 8.9 which confirms the answer is correct.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2014/jun2402.jpg\" alt = \"$$$\" </a>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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