If `log ((a+b)/3) = 1/2(loga+logb) `then the value of `a/b+b/a`

If log((a+b)/(3))=(1)/(2)(log a+log b) then the value of (a)/(b)+(b)/(a)

If y=a^(1/(1-log_a x)), z=a^(1/(1-log_a y)), then the value of a^(1/(1-log_a z)) is (i) x/y (ii)y/x (iii)z/y (iv) x

If log((a+b)/(6))=(1)/(2)(loga+logb) , then (a)/(b) + (b)/(a) = ______.

If log(a^(3)-b^(3))-log3=(3)/(2)(log a+log b) find the value of ((a)/(b))^(3)+((b)/(a))^(3)

If log_(sqrt8) b = 3 1/3 , then find the value of b.

if log((a+b)/(2))=(1)/(2)(log a+log b), prove that a=b

If log_e(1/(2)(a+b))=1/2(log_e a+log_e b), then a/(3b) =

If log_(a)b=2, log_(b)c=2, and log_(3) c= 3 + log_(3) a,then the value of c/(ab)is ________.

If log_(a)b=2,log_(b)c=2, and log_(3)c=3+log_(3)a then the value of c/(ab) is..........