`log_(1//3)sqrt(729*root(3)(9^(- 1)*27^(-4//3)))` is equal to

Find the value of log_(1//3)root(4)(729*root(3)(9^(-1)*27^(-4//3))) .

log_(3)root(9)(3)=

The value of log_(8)17/(log_(9)23)-log_(2sqrt2)17/(log_(3)23) is equal to

lim_(x->oo)(2sqrt(x)+3root3x+4root4x+.......+nrootnx)/(sqrt((2x-3))+root3(2x-3)+.......+rootn(2x-3)) is equal to (a) 1 (b) oo (c) sqrt(2) (d) none of these

lim_(x to 27) (x^(1//3) + 3) (X^(1//3) - 3))/(x - 27) is equal to

The value of ((1)/(sqrt(27)))^(2-((log_(5)16)/(2log_(5)9))) equal to :

The value of 6+(log)_(3/2)[1/(3sqrt(2)) * sqrt{ (4 - 1/(3sqrt(2))) sqrt(4 - 1/(3sqrt(2))....... } is ...............

|{:(5sqrt(log_(5)3),,5sqrt(log_(5)3),,5sqrt(log_(5)3)),(3^(-log_(1//3)4),,(0.1)^(log_(0.01)4),,7^(log_(7)3)),(7,,3,,5):}|" is equal to ""____"

Match the column Column I, Column II If x=3,t h e n(log)_4(2(log)_3(1+(log)_2(1+3Log_3x))) is equal to, p. 3 If x=100 , then 3^((log)_3logsqrt(x))-logx+log^2x is equal to, q. 1 If one of the root of the equation 2((log)_xsqrt(5))^2-3(log)_x(a)+1=0 is sqrt(5) , then the other root is, r. 1/2 If (log)_2(4. 3^x-6)-(log)_2(9^x-6)=1, then x is equal to, s. 5

The coefficient of x^(9) in expansion of (x^(3)+(1)/(2^(log sqrt2(x^((3)/(2))))))^(11) is equal to