document.write( "Question 32576: example:
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document.write( "how would you solve this:
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document.write( "7740.70(1+(r/365))^365=7770.84\r
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document.write( "I can't figure out what to do with the exponent? \n" );
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Algebra.Com's Answer #19070 by mukhopadhyay(490)![]() ![]() ![]() You can put this solution on YOUR website! You will need a scientific calculator to do the necessary computation. \n" ); document.write( "The steps are as below: \n" ); document.write( "7740.70(1+(r/365))^365=7770.84 \n" ); document.write( "=> [1+(r/365)]^365 = 7770.84/7740.70 \n" ); document.write( "Take log on both sides: \n" ); document.write( "log [1+(r/365)]^365 = log (7770.84/7740.70) \n" ); document.write( "=> 365 log [1+(r/365)] = log (7770.84) - log (7740.70) \n" ); document.write( "=> log [1+(r/365)] = [log (7770.84) - log (7740.70)]/365 \n" ); document.write( "Use the definition of the log: if log x = a, then x = 10^a \n" ); document.write( "Thus, [1+(r/365)] = 10^[{log (7770.84) - log (7740.70)}/365] \n" ); document.write( "=> r/365 = 10^[(log 7770.84 - log 7740.70)/(365) - 1] \n" ); document.write( "=> r = 365*10^[(log 7770.84 - log 7740.70)/(365) - 1] \n" ); document.write( "The above gives the exact solution of r. If you want to find the approximate solution, you will need a calculator to do so. The solution can also be found easily by using graphing calculator. \n" ); document.write( "The above kind of expression looks kind of Cryptic, but you will get habituated after practicing them for a while \n" ); document.write( " |