document.write( "Question 1205558: The relation between the number of time in days, D, it takes for a planet to revolve around the Sun is related to the planet’s average distance from the Sun, k, in millions of kilometres is defined by logD = 3/2 logk-0.7. How much longer does it take Mars than Venus to orbit the Sun if Mars is 207 million km and Venus is 108 million km away from the Sun?\r
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Algebra.Com's Answer #842457 by ikleyn(52793)\"\" \"About 
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\n" ); document.write( "The relation between the number of time in days, D, it takes for a planet to revolve around the Sun
\n" ); document.write( "is related to the planet’s average distance from the Sun, k, in millions of kilometres is defined by
\n" ); document.write( "logD = 3/2 logk-0.7. How much longer does it take Mars than Venus to orbit the Sun
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\n" ); document.write( "\n" ); document.write( "            See how simple the calculations are.\r
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document.write( "Time for Mars to make one revolution around the Sun\r\n" );
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document.write( "      \"log%28%28D%5BMars%5D%29%29\" = \"%283%2F2%29%2Alog%28%28207%29%29\" - 0.7 = use your calculator = \r\n" );
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document.write( "    = \"%283%2F2%29%2A%282.315970345%29\" - 0.7 = use your calculator, again = 2.773955518.\r\n" );
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document.write( "It gives for Mars\r\n" );
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document.write( "      \"D%5BMars%5D\" = \"10%5E2.773955518\" = use your calculator = 594 days (rounded).\r\n" );
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document.write( "             Similar calculations for Venus\r\n" );
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document.write( "Time for Venus to make one revolution around the Sun\r\n" );
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document.write( "      \"log%28%28D%5BVenus%5D%29%29\" = \"%283%2F2%29%2Alog%28%28108%29%29\" - 0.7 = use your calculator = \r\n" );
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document.write( "    = \"%283%2F2%29%2A%282.033423755%29\" - 0.7 = use your calculator, again = 2.350135633\r\n" );
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document.write( "It gives for Venus\r\n" );
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document.write( "      \"D%5BVenus%5D\" = \"10%5E2.350135633\" = use your calculator = 224 days (rounded).\r\n" );
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document.write( "The problem asks about the difference \r\n" );
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document.write( "      \"D%5BMars%5D\" - \"D%5BVenus%5D\" = 594 - 224 = 370 days  (approximately).    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "The major goal of this problem is to teach you using your calculator for similar tasks.\r
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\n" ); document.write( "\n" ); document.write( "First,  you make straightforward calculations to find the logarithm values,  using given formula.\r
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\n" ); document.write( "\n" ); document.write( "Next,  you potentiate to restore the numbers from the found logarithm values.\r
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\n" ); document.write( "\n" ); document.write( "In this problem,  there is  NO  ANY  NEED  to manipulate with formulas for logarithms.\r
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\n" ); document.write( "\n" ); document.write( "This problem is not intended for such manipulations.\r
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