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If 2 to the power of 3 n end exponent over 8 plus 1 plus 3 cross times 2 to the power of n over 2 plus 3 cross times 2 to the power of 2 n end exponent over 4 equals 4913 , then find the value of n. A) 3 B)10 C) 5 D) 8  
Asked by adalroshan2464 | 14 Nov, 2018, 05:59: PM
answered-by-expert Expert Answer
begin mathsize 16px style 2 to the power of 3 straight n end exponent over 8 plus 1 plus 3 cross times 2 to the power of straight n over 2 plus 3 cross times 2 to the power of 2 straight n end exponent over 4 equals 4913 open parentheses fraction numerator begin display style 2 to the power of straight n end style over denominator begin display style 2 end style end fraction close parentheses cubed plus 1 plus 3 cross times fraction numerator begin display style 2 to the power of straight n end style over denominator begin display style 2 end style end fraction plus 3 cross times open parentheses fraction numerator begin display style 2 to the power of straight n end style over denominator begin display style 2 end style end fraction close parentheses squared equals 4913 Put space fraction numerator begin display style 2 to the power of straight n end style over denominator begin display style 2 end style end fraction equals straight m straight m cubed plus 1 plus 3 straight m plus 3 straight m squared equals 4913 straight m cubed plus 3 straight m squared plus 3 straight m plus 1 minus 4913 equals 0 straight m cubed plus 3 straight m squared plus 3 straight m minus 4912 equals 0 left parenthesis straight m minus 16 right parenthesis left parenthesis straight m squared plus 19 straight m plus 307 right parenthesis equals 0 straight m equals 16 fraction numerator begin display style 2 to the power of straight n end style over denominator begin display style 2 end style end fraction equals 16 2 to the power of straight n minus 1 end exponent equals 2 to the power of 4 straight n minus 1 equals 4 straight n equals 5 end style
Answered by Sneha shidid | 15 Nov, 2018, 12:03: PM

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