If `log_b a=3, log_b =-4.` If the value of x satisfying theequation `a^(3x) = c^x-1` is expressed in the form `p/q,`where `p and q` are relatively prime then `p+q` is

If the value of lim_(x->0)( ((3/ x)+1)/((3/x)-1))^(1/x) can be expressed in the form of e^(p/q), where p and q are relative prime then find the value of (p+q) .

Let a,b,c,d are distinct numbers to be chosen from the set {1,2,3,4,5}. If the least possible positive solution for x to the system of equations ax+by=1cx+dy=2} can be expressed in the form (p)/(q) where p and q are relatively prime,then find the value of (p+q).

If log_b x=p and log_b y=q, then log_b xy=

Let P(x) be a polynomial of degree 4 such that p(1)=p(5)=p'(7)=0 If the real number x!=1,3,5 is such that p(x)=0 can be expressed as x=(p)/(q) where p and q are relatively prime then (p+q) equals to

Let p(x) be a polynomial of degree 4 such that P(1)=P(3)=P(5)=P'(7)=0. If the real number ane1,3,5 is such that P(a)=0 can be expressed as a=(p)/(q) , where p and q are relatively prime, then (p-8q) is……….

Let p(x) be a polynomial of degree 4 such that P(1)=P(3)=P(5)=P'(7)=0. If the real number ane1,3,5 is such that P(a)=0 can be expressed as a=(p)/(q) , where p and q are relatively prime, then (p-8q) is……….

Let p(x) be a polynomial of degree 4 such that P(1)=P(3)=P(5)=P'(7)=0. If the real number ane1,3,5 is such that P(a)=0 can be expressed as a=(p)/(q) , where p and q are relatively prime, then (p-8q) is……….

Let p(x) be a polynomial of degree 4 such that P(1)=P(3)=P(5)=P'(7)=0. If the real number ane1,3,5 is such that P(a)=0 can be expressed as a=(p)/(q) , where p and q are relatively prime, then (p-8q) is……….

Let the maximum value of expression y= (x ^(4)-x ^(2))/(x ^(6) + 2x ^(3) -1) for x gt 1 is (p)/(q), where p and q are relatively prime natural numbers, then p+ q=