document.write( "Question 729266: Stars of magnitude m are visible through a telescope of minimum diameter d (in inches). the relationship is m=8.8 + 5.1 log d.\r
\n" ); document.write( "\n" ); document.write( "Round your answer to one decimal place.\r
\n" ); document.write( "\n" ); document.write( "1. a telescope with diamter 75 inches can detect a star of magnitude m = ____.
\n" ); document.write( "2. a star of magnitude 10.6 can be detected using a telescope with lens diameter d = ______ inches\r
\n" ); document.write( "\n" ); document.write( "for the firs problem I substituted 75 in for d. m= 8.8 + 5.1 log 75. I then solved for log 75 which is 1.875. m = 8.8 + 5.1(1.875). I then solved for m to be 18.4.\r
\n" ); document.write( "\n" ); document.write( "the second problem I substituted 10.6 in for m. 10.6 = 8.8 + 5.1 log d. \r
\n" ); document.write( "\n" ); document.write( "I didn't know what to do or if the first part is correct. Please help. \n" ); document.write( "

Algebra.Com's Answer #445795 by stanbon(75887) $\"\"$ $\"About$

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Stars of magnitude m are visible through a telescope of minimum diameter d (in inches). the relationship is m(d) = 8.8 + 5.1 log d.
\n" ); document.write( "Round your answer to one decimal place.
\n" ); document.write( "1. a telescope with diamter 75 inches can detect a star of magnitude
\n" ); document.write( "m(75) = 8.8 + 5.1*log(75) = 18.37
\n" ); document.write( "-----------------------------------------
\n" ); document.write( "2. a star of magnitude 10.6 can be detected using a telescope with lens
\n" ); document.write( "Solve: 10.6 = 8.8+5.1*log(d)
\n" ); document.write( "5.1*log(d) = 1.8
\n" ); document.write( "log(d) = 0.3529
\n" ); document.write( "d = 10^0.3529 = 2.2539 inches
\n" ); document.write( "-----------------------------------
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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