If `(a)/(2)-(b)/(3)=1`, what is `2a+3b` in terms of b?

If b=5a^(3)-2a+7 and c=2a^(2)+a+3, what is 3c-b in terms of a?

If a=b^(2/3) and b =c^(2) , what is the value of a in terms of c?

If a=1+b+b^(2)+b^(3)+quad oo, then write b in terms of a given that |b|<1

If b_(1),b_(2),b_(3) are three consecutive terms of an arithmetic progression with common difference dgt0, then what is the value of d for which b(2)/(3)=b_(2)b_(3)+b_(1)d+2?

the base vectors vec a_(1),vec a_(2),vec longrightarrow3 are given in terms of base vectors vec b_(1),vec b_(2),vec b_(3) as vec a_(1)=2vec b_(1)+3vec b_(2)-vec b_(2)-vec b_(3)+vec a_(2)=vec b_(1)-2vec b_(2)+2vec b_(3) and vec a_(3)=-2vec b_(1)+2vec b_(2)-2vec b_(3) If vec F=3vec b_(1)-vec b_(2)+2vec b_(3), then express vec F in terms of vec a_(1),vec a_(2) and vec a_(3)

If (2a - 3b)/(2a+3b) = 1/3 , then find the value of (2a^(3) - 3b^(3))/(2a^(3) + 3b^(3)) .

If (log)_(10)2=a ,(log)_(10)3=bt h e n(log)_(0. 72)(9. 6) in terms of a and b is equal to (a) (2a+3b-1)/(5a+b-2) (b) (5a+b-1)/(3a+2b-2) (c) (3a+b-2)/(2a+3b-1) (d) (2a+5b-2)/(3a+b-1)

If (log)_(10)2=a ,(log)_(10)3=bt h e n(log)_(0. 72)(9. 6) in terms of a and b is equal to (a) (2a+3b-1)/(5a+b-2) (b) (5a+b-1)/(3a+2b-2) (c) (3a+b-2)/(2a+3b-1) (d) (2a+5b-2)/(3a+b-1)

If (log)_(10)2=a ,(log)_(10)3=bt h e n(log)_(0. 72)(9. 6) in terms of a and b is equal to (a) (2a+3b-1)/(5a+b-2) (b) (5a+b-1)/(3a+2b-2) (c) (3a+b-2)/(2a+3b-1) (d) (2a+5b-2)/(3a+b-1)

If x = (a + sqrt(a^(2) + b^(3)))^((1)/(3)) + (a-sqrt(a^(2) + b^(3)))^((1)/(3)) , then what is the value of x^(3) + 3bx - 2a ?