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Question: Let N = \(\frac{4^{5} + 4^{5} + 4^{5} + 4^{5}}{3^{5} + 3^{5} + 3^{5}}\).\(\frac{6^{5} + 6^{5} + 6^{5...

Let N = 45+45+45+4535+35+35\frac{4^{5} + 4^{5} + 4^{5} + 4^{5}}{3^{5} + 3^{5} + 3^{5}}.65+65+65+65+65+6525+25\frac{6^{5} + 6^{5} + 6^{5} + 6^{5} + 6^{5} + 6^{5}}{2^{5} + 2^{5}}Then the value of log2 N =

A

10

B

11

C

12

D

14

Answer

12

Explanation

Solution

N = 4.453.35\frac{4.4^{5}}{3.3^{5}}.6.652.25\frac{6.6^{5}}{2.2^{5}}=4636\frac{4^{6}}{3^{6}}.6626\frac{6^{6}}{2^{6}}

Ž N = 46

\log2N = 12