There exists a positive number k such that ` log_2x+ log_4x+ log_8x= log_kx`, for all positive real no x. If k=`a^(1/b)` where (a,b) `epsilon` N, the smallest possible value of (a+b)= (C) 12 A) 75 (B) 65 (D) 63_

There exists a positive number k such that log_(2)x+log_(4)x+log_(8)x=log_(k)x, for all positive real no x.If k=a^((1)/(b)) where (a,b)varepsilon N, the smallest possible value of (a+b)=(C)12 A) 75 (B) 65 (D) 63_(-)

If x is a positive real number different from 1 such that log_a x, log_b x, log_c x are in A.P then

If x is a positive real number different from 1 such that log_a x, log_b x, log_c x are in A.P then

If x is a positive real number different from 1 such that log_a x, log_b x, log_c x are in A.P then

If k in N, such that log_(2)x+log_(4)x+log_(8)x=log_(k)x!=1 then the value of k is

If x is a positive real number different from 1 such that log_(a)x,log_(b)x,log_(c)x are in A.P then

If X is a positive real number other than 1 such that log_(a)x.log_(b)x,log_(c)x are in A.P. then

If x is a positive real number different from unity such that 2log_(b)x=log_(a)x+log_(c)x then prove that c^(2)=(ca)^(log_(a)b)

If x is a positive real number different from 1 such that log_(a)^(x),log_(b)^(x),log_(c)^(x) are in A.P , then

If three positive real number a,b and c are in G.P show that log a , log b and log c are in A.P