" Let "P=prod_(-1)[10^(27)]," then "log_(" act ")(P)" is "

Let P=prod_(n=1)^(oo)(10^((1)/(2n-1))) then find log_(0.01)P

Consider a square matrix A=[[1,10,1]]. Then the value of sum of all elements of the matrix P=prod_(k=1)^(10)A^(k), is equal to (i) 10( ii) 40 (iii) 10! (iv) 57

If 2,h_1,h_2,...h_(20),5 are in H.P, 2,a_1,a_2,...a_(20),5 are in A.P and 2,g_1,g_2,...g_(20),5 are in G.P and L=prod_(i=1)^(20) a_ih_ig_i then (log_(10)L)/10=

There are three planes prod_(1),prod_(2),prod_(3) such that prod_(1) is perpendicular to prod_(2) and prod_(1) is parallel to prod_(3) . If n_(1),n_(2),n_(3) are the nomals to the planes prod_(1),prod_(2),prod_(3) respectively then

If x=prod_(n=1)^(2000)n, then the value of the expression, (1)/((1)/(log_(2)x)+(1)/(log_(3)x)+.........+(1)/(log_(2000)x))is..........

Let p=lim_(x->0^+)(1+tan^2 sqrt(x))^(1/(2x)) then log p is equal to

If x=prod_(n=1)^(2000)n , then the value of the expression, 1/(1/((log)_2x)+1/((log)_3x)++1/((log)_(2000)x))i s dot

If sum_(k=0)^(200)i^(k)+prod_(p=1)^(50)i^(p)=x+iy then (x,y) is