If `log_e((a+b)/2)=1/2(log_e a+log_e b),` then find the relation between `a a n d b dot`

If (log)_e((a+b)/2)=1/2((log)_e a+(log)_e b), then find the relation between aa n dbdot

If log_(b) n = 2 and log_(n) 2b = 2 , then find the value of b.

If f(x)=log_(e)(log_(e)x)/log_(e)x then f'(x) at x = e is

The value of (6a^((log)_e b)((log)_(a^2)b)((log)_(b^2)a)/(e^((log)_e a(log)_e b))i s (a) independent of a (b) independent of b (c)independent of a and b (d) dependent on b

int log_e xdx = int 1/(log_x e) dx =

Let a , b , c , d be positive integers such that (log)_a b=3/2a n d(log)_c d=5/4dot If (a-c)=9, then find the value of (b-d)dot

If ((log)_a N)/((log)_c N)=((log)_a N-(log)_b N)/((log)_b N-(log)_c N),w h e r eN >0a n dN!=1, a , b , c >0 and not equal to 1, then prove that b^2=a c

Let b_i > 1 for i =1, 2,....,101. Suppose log_e b_1, log_e b_2,....,log_e b_101 are in Arithmetic Progression (A.P.) with the common difference log_e 2 . Suppose a_1, a_2,...,a_101 are in A.P. such that a_1 = b_1 and a_51 = b_51 . If t = b_1 + b_2+.....+b_51 and s = a_1+a_2+....+a_51 then

"If "log_(e)(log_(e) x-log_(e)y)=e^(x^(2_(y)))(1-log_(e)x)," then find the value of "y'(e).

"If "log_(e)(log_(e) x-log_(e)y)=e^(x^(2_(y)))(1-log_(e)x)," then find the value of "y'(e).