Median of 5 observations i.e. `3^(log_9 4),5^(log_(1/2)8), e^(2ln3),ln(1/e)+3, e^((2In 3)+1/log_4 e)`

Evaluate: int(e^(5)(log)_(e)x-e^(4)(log)_(e)x)/(e^(3)(log)_(e)x-e^(2)(log)_(e^(x))x)dx

Evaluate: int(e^(6)(log)_(e)x-e^(5)(log)_(e)x)/(e^(4)(log)_(e)x-e^(3)(log)_(e^(x))x)dx

(1)/(log_(2) e) + (1)/(log_(2)e^(2)) + (1)/(log_(2) e^(4)) + .... =

Which of the following numbers are positive/negative? (a) (log)_2 7 (b) (log)_(0. 2)3 (c) (log)_(1//3)(1/5) (d) (log)_4 3 (e) (log)_2((log)_2 9)

Evaluate: int(e^(5(log)_e x)-e^(4(log)_ex))/(e^(3(log)_e x)-e^(2logx))dx

Evaluate: int(e^(5\ (log)_e x)-e^(4\ (log)_e x))/(e^(3\ (log)_e x)-e^(2\ (log)_e x))\ dx

Evaluate: int(e^(5(log)_(e)x)-e^(4(log)_(e)x))/(e^(3(log)_(e)x-e^(2log x)))dx

log_(e)3-(log_(e)9)/2^(2)+(log_(e)27)/3^(2)-(log_(e)81)/4^(2)+… is :

Evaluate: int(e^(6\ (log)_e x)-e^(5\ (log)_e x))/(e^(4\ (log)_e x)-e^(3\ (log)_e x))\ dx