document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=998792>Question 998792</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please Help and Show All Steps\r<BR>\n" );
document.write( "\n" );
document.write( "the loudness of sound is measured in decibels. These units are measured by first assigning an intensity I_0 to a very soft sound (which is called the threshold sound). The sound we wish to measure is assigned an intensity I, and we measure the decibel rating d of this sound with the equation: d=10log^I/I_0.<BR>\n" );
document.write( "Find the loudness, in decibels, or each sound with given intensity:\r<BR>\n" );
document.write( "\n" );
document.write( "A) Study Lounge (I=2500*I_0) the answer I got was 40864.32<BR>\n" );
document.write( "B) Normal Concentration (I=10^6*I_0)= my answer 100004<BR>\n" );
document.write( "C) Dishwasher (I=2500000*I_0)= my answer 393.0<BR>\n" );
document.write( "D) Rock Concert (I=10^12*I_0)=my answer 25,000,000,000.43<BR>\n" );
document.write( "E) Exposure to sounds above 85 decibels may cause permanent hearing loss... should we avoid any of the above? I put rock concert and dishwasher </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #616554 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=616554\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You really mean, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=10%2Aln%28I%2FI%5Bo%5D%29 ALIGN=MIDDLE  ALT=\"d=10%2Aln%28I%2FI%5Bo%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "After that, your items to answer are incomplete.  You show a given I value, but your needed <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=I%5Bo%5D ALIGN=MIDDLE  ALT=\"I%5Bo%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > value is missing or something.  Maybe, you mean it they way they look.  Not sure.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(A)<BR>\n" );
document.write( "The log input seems to be   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=I%2AI%5Bo%5D%2FI%5Bo%5D ALIGN=MIDDLE  ALT=\"I%2AI%5Bo%5D%2FI%5Bo%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  It just looks strange.  This would mean, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=10%2Aln%282500%29 ALIGN=MIDDLE  ALT=\"d=10%2Aln%282500%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=10%2A7.8 ALIGN=MIDDLE  ALT=\"d=10%2A7.8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28d=78%29 ALIGN=MIDDLE  ALT=\"highlight%28d=78%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The rest of your items are all of the same form and so you will treat them the same way.  (Item E is different but only relies on good judgement about avoiding damaging noise).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "--<BR>\n" );
document.write( "Recheck your given formula for d.<BR>\n" );
document.write( "Factor of 10, factor of Natural Logarithm of (I divided by I sub zero).<BR>\n" );
document.write( "The question part (A) gives you  I equals 2500 multiplied by I sub zero.  This will mean  (you recheck the arithmetic or the algebra) that your expression to evaluate is  :  Factor of 10, factor of Natural Logarithm of 2500.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Use scientific calculator, or graphing calculator, or table of logarithms.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%282500%29 ALIGN=MIDDLE  ALT=\"ln%282500%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%2825%29%2Bln%28100%29 ALIGN=MIDDLE  ALT=\"ln%2825%29%2Bln%28100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%2825%29%2Bln%281%2A10%5E2%29 ALIGN=MIDDLE  ALT=\"ln%2825%29%2Bln%281%2A10%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%2825%29%2Bln%281%29%2Bln%2810%5E2%29 ALIGN=MIDDLE  ALT=\"ln%2825%29%2Bln%281%29%2Bln%2810%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%2825%29%2B0%2B2%2Aln%2810%29 ALIGN=MIDDLE  ALT=\"ln%2825%29%2B0%2B2%2Aln%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.2189%2B2%2A2.3026 ALIGN=MIDDLE  ALT=\"3.2189%2B2%2A2.3026\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%287.8241%29 ALIGN=MIDDLE  ALT=\"highlight_green%287.8241%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "NOW, be reminded, the exprssion you want to compute is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Aln%282500%29 ALIGN=MIDDLE  ALT=\"10%2Aln%282500%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2A7.8241 ALIGN=MIDDLE  ALT=\"10%2A7.8241\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=78.241 ALIGN=MIDDLE  ALT=\"78.241\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Best is to keep with just two significant figures here because that is the best accuracy that you have in the given data, so,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2878%29 ALIGN=MIDDLE  ALT=\"highlight%2878%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "---<BR>\n" );
document.write( "For B, C, and D, JUST FOLLOW THE FORMULA.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "C,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=10%2Aln%28I%2FI%5Bo%5D%29 ALIGN=MIDDLE  ALT=\"d=10%2Aln%28I%2FI%5Bo%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=10%2Aln%282500000%29 ALIGN=MIDDLE  ALT=\"d=10%2Aln%282500000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=10%2A14.7318 ALIGN=MIDDLE  ALT=\"d=10%2A14.7318\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=150 ALIGN=MIDDLE  ALT=\"d=150\"   DISABLED_style= \"max-width:90%; height:auto;\" >--------------or 147, if to three significant figures </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );