Simplify 7^logn base2?

1 Answer
Mar 1, 2018

Expression #approx n^2.807355#

Explanation:

Expression #= 7^(log_2 n)#

Now, #log_2 n = (ln n)/ln 2#

Let Expression #= x#

#:. x= 7^( (ln n)/ln 2)#

#ln x approx ln7 xx (ln n)/0.693147#

#approx (1.945910xxln n)/0.693147#

#approx 2.807355ln n#

Hence, #x approx n^2.807355#