If `C = ( x - a )/( a - b )` , find the value of x

If ((a)/(b))^(x - 1) = ((b)/(a))^(x - 3) , find the value x .

If abc =0 then find the value of [(x^a)^b]^c .

If x=(a-b)/(a+b), y=(b-c)/(b+c) and z=(c-a)/(c+a) , find the value of ((1+x)(1+y)(1+z))/((1-x)(1-y)(1-z))

In a A B C , D and E are points on the sides A B and A C respectively such that D E B C If A D=2 c m , A B=6 c m and A C=9 c m , find A E . (ii) If (A D)/(B D)=4/5 and E C=2. 5 c m , find A E . (iii) If A D=x , D B=x-2 , A E=x+2 and E C=x-1 , find the value of x .

In Fig.85, A B C D\ a n d\ A C B Ddot Find the value of x , y , zdot

If 1176=2^(a)x3^(b)x7^(c), find the values of a,b and c. Hence,compute the value of 2^(a)x3^(b)x7^(-c) as a fraction.

If ((m+n) x -(a-b) )/((m-n)x -(a+b))=((m+n)x +a+c)/((m-n)x+a-c) then find the value of x.

Verify Rolle's Theorem in the interval [a, b] for the function : f(x)=(x-a)^(2)(x-b)^(2) . Find the value of 'c'.

If (a/b)^(x-1) = (b/a)^(2x-8) , then find the value of x.