document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=364537>Question 364537</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I need your help! I have to show my work with the problem below, but I am not sure how to do it. Could someone please help me? <BR>\n" );
document.write( "Can you show me the steps I need to take? <BR>\n" );
document.write( "Thanks!\r<BR>\n" );
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document.write( "Section 12.3, #93\r<BR>\n" );
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document.write( "The loudness level of a sound can be expressed by comparing the sound's intensity to the intensity of a sound barely audible to the human ear. The formula D=10(logI-logl)describes the loudness level of a sound, D, in decibels, where I is the intensity of the sound, in watts per meter^2 and I is the intensity of a sound barely audible to the human ear. \r<BR>\n" );
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document.write( "a.) Express the formula so that the expression in parentheses is written in single logarithm. \r<BR>\n" );
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document.write( "b.) Use the form of the formula from part  (a) to answer this question. If a sound has an intensity 100 times the intensity of a softer sound, how much larger on the decibel scale is the loudness level of the more intense sound?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #260032 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=260032\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The loudness level of a sound can be expressed by comparing the sound's intensity<BR>\n" );
document.write( " to the intensity of a sound barely audible to the human ear.<BR>\n" );
document.write( " The formula D=10(logI-logl)describes the loudness level of a sound, D, in<BR>\n" );
document.write( " decibels, where I is the intensity of the sound, in watts per meter^2 and<BR>\n" );
document.write( " l is the intensity of a sound barely audible to the human ear.<BR>\n" );
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document.write( "a.) Express the formula so that the expression in parentheses is written in single logarithm.<BR>\n" );
document.write( "D=10(logI-logl)<BR>\n" );
document.write( "Subtracting logs indicates division, therefore<BR>\n" );
document.write( "D = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Alog%28I%2Fl%29 ALIGN=MIDDLE  ALT=\"10%2Alog%28I%2Fl%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( ":<BR>\n" );
document.write( "b.) Use the form of the formula from part (a) to answer this question. If a sound has an intensity 100 times the intensity of a softer sound, how much larger on the decibel scale is the loudness level of the more intense sound?<BR>\n" );
document.write( "D = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Alog%28100%29 ALIGN=MIDDLE  ALT=\"10%2Alog%28100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "D = 10 * 2<BR>\n" );
document.write( "D = 20 db<BR>\n" );
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document.write( " </SPAN>\n" );
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