if `a,b` are coprime numbers and satisfying `(2+sqrt3)^(1/log_a (2-sqrt3)+1/log_b ((sqrt3-1)/(sqrt3+1)))=1/12` then find the value of `(a+b)`

if a,b are coprime numbers and satisfying (2+sqrt(3))^(((1-sqrt(3)))/(log_(a)(2-sqrt(3)))+(13-1)/(sqrt(3)+1))=(1)/(12) then find the value of (a+b)

If a , b are co-prime numbers and satisfying (2+sqrt(3))^(1/(log_a(2-sqrt(3)))+1/(log_b ((sqrt(3)-1)/(sqrt(3)+1))))=1/(12) then (a+b) can be is equal to : 13 (b) 5 (c) 7 (d) 8

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

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

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

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

If a (2 + sqrt3) = b ( 2-sqrt3) =1 then find the value of 1/(a^(2) +1) + 1/(b^2 +1)

If a=(sqrt(3)+1)/(sqrt(3)-1) and b=(sqrt(3)-1)/(sqrt(3)+1) ,find the value of a^(2)+ab-b^(2)

If a = (sqrt3-1)/(sqrt3+1) and ab=1 , then find (a^3 + b^3)