document.write( "Question 75498: The relationship between a telescope's magnitude and the diameter of the telescopes lens can be modeled by M=5logD=2 where M is the magnitude and D is the diameter(in milimeters) of the lens. If a telescope can reveal stars with a magnitude of 12, what is the diameter of the lens. \n" ); document.write( "
Algebra.Com's Answer #54331 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The relationship between a telescope's magnitude and the diameter of the telescopes lens can be modeled by M=5logD=2 where M is the magnitude and D is the diameter(in milimeters) of the lens. If a telescope can reveal stars with a magnitude of 12, what is the diameter of the lens. \n" ); document.write( ": \n" ); document.write( "I assume the given equation should be this: \n" ); document.write( "M = 5*log(D+2) \n" ); document.write( ": \n" ); document.write( "5*log(D+2) = 12 \n" ); document.write( ": \n" ); document.write( "log(D+2) = 12/5 \n" ); document.write( "log(D+2) = 2.4 \n" ); document.write( "D + 2 = 251.1886; the anti-log of 2.4 \n" ); document.write( "D = 251.1886 - 2 \n" ); document.write( "D = 249.1886 millimeters or about .249 meters \n" ); document.write( ": \n" ); document.write( "Perhaps I have not interpreted this formula correctly, hopefully the method will help you anyway.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |