document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=632961>Question 632961</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the number of decibels for the power of the sound. Round to the nearest decibel.<BR>\n" );
document.write( " A rock concert, 5.37 10^-6 watts/cm2  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #398583 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=398583\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> first table converts dbm to milliwatts<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"http://www.rapidtables.com/convert/power/dBm_to_mW.htm\" target = \"_blank\">http://www.rapidtables.com/convert/power/dBm_to_mW.htm</a>\r<BR>\n" );
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document.write( "second table converts milliwatts to dbm<BR>\n" );
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document.write( "third tabletable converts watts to dbm<BR>\n" );
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document.write( "based on the third table, you would enter .00000537 as the power in watts and it will tell you that the power in decibels is equal to -22.700257143.\r<BR>\n" );
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document.write( "based on the first table, you would enter -22.700257143 as the power in decibels and it will tell you that the power in milli-watts is equal to 0.00537.\r<BR>\n" );
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document.write( "based on the second table, you would enter .00537 as the power in milli-watts and it will tell you that the power in decibels is equal to -22.700257143.\r<BR>\n" );
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document.write( "these calculators take the burden of converting from decibels to milli-watts and vice-versa.\r<BR>\n" );
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document.write( "the theory involves logarithms.\r<BR>\n" );
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document.write( "the basic formula is:\r<BR>\n" );
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document.write( "y = log(x) if and only if x = 10^y\r<BR>\n" );
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document.write( "if y is in decibels, then the formula becomes:\r<BR>\n" );
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document.write( "y = 10*log(x) if and only if x = 10^(y/10)\r<BR>\n" );
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document.write( "this assumes x is in milli-watts\r<BR>\n" );
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document.write( "if x is in watts, then this equation becomes:\r<BR>\n" );
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document.write( "y = 10*log(1000*x) if and only if 1000*x = 10^(y/10) <BR>\n" );
document.write( "this can be further simplified to:<BR>\n" );
document.write( "y = 10*log(1000*x) if and only if x = (10^(y/10))/1000\r<BR>\n" );
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document.write( "note that if x is in milliwatts, then x is equal to .00537 (5.37*10^-3)<BR>\n" );
document.write( "note that if x is in watts, then x is equal to .00000537 (5.37*10^-6)<BR>\n" );
document.write( "note that 1000 * .00000537 is equal to .00537 (5.37*10^-6*10^3 = 5.37*10^-3)\r<BR>\n" );
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document.write( "the conversions are tricky, but they work.\r<BR>\n" );
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document.write( "the basic power reference in milliwatts is 0 dbmw = 1 milliwatt of power.<BR>\n" );
document.write( "the basic power reference in watts is 0 dbw = .001 watt of power.<BR>\n" );
document.write( "1000 milliwatts equals 1 watt<BR>\n" );
document.write( ".001 watts equals 1 milliwatt\r<BR>\n" );
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document.write( "this is about as simple as i can make it.<BR>\n" );
document.write( "those tables are a godsend.<BR>\n" );
document.write( "they take the drudgery out of doing the conversions.\r<BR>\n" );
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document.write( "the theory is interesting but can get complex.<BR>\n" );
document.write( "use the tables unless you have to do it manually.<BR>\n" );
document.write( "the tables have the conversion formulas you can use if you have to do it manually.\r<BR>\n" );
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document.write( "some more information regarding decibels can be found here:<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"http://en.wikipedia.org/wiki/Decibel\" target = \"_blank\">http://en.wikipedia.org/wiki/Decibel</a>\r<BR>\n" );
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