Find the value of x in each of the following .
(i) `root5(5x + 2) = 2` (ii) `root3(3x - 2) =4`
(iii) `((3)/(4))^(3)((4)/(3))^(-7)= ((3)/(4))^(2x)` (iv) `5^(x-3) xx 3^(2x -8) = 225`
(v) `(3^(3x) . 3^(2x))/(3^(x)) = root4(3^(20))`

Find the value of x in each of the following: (i)\ 5^(2x+3)=1 (ii)\ (13)^(sqrt(x))=4^4-3^4-6 (iii)\ (sqrt(3/5))^(x+1)=(125)/(27)

Find the value of x in each of the following cases : (i) 3^(2x+3)=1" "(ii)2^(x-5)xx5^(x-4)=5 (iii)2^(2x+1)=2^(2x-1)+12" "(vi)3^(2x-3)=3sqrt(3)

Find the value of x in each of the following cases : (i) 3^(2x+3)=1" "(ii)2^(x-5)xx5^(x-4)=5 (iii)2^(2x+1)=2^(2x-1)+12" "(vi)3^(2x-3)=3sqrt(3)

Evaluate each of the following (i) 5^2 x 5^4 (ii) 5^8 divide 5^3 (iii) (3^2)^3 (iv) (11/12)^3 (v) (3/4)^-3

Find each of the following products: (i) (x - 4)(x - 4) (ii) (2x - 3y)(2x - 3y) (iii) ((3)/(4) x - (5)/(6) y) ((3)/(4)x - (5)/(6) y) (iv) (x - (3)/(x)) (x - (3)/(x)) (v) ((1)/(3) x^(2) - 9) ((1)/(3) x^(2) - 9) (vi) ((1)/(2) y^(2) - (1)/(3) y) ((1)/(2) y^(2) - (1)/(3) y)

Obtain the differential coefficient of the following : (i) (x-1) (2x+5) (ii) (9x^(3)-8x+7)(3x^(2)+5) (iii) 1/(2x+1) (iv) (3x+4)/(4x+5) (v) (x^(2))/(x^(3)+1)

Find the following products: (i) (x+2)(x+3) (ii) (x+7)(x-2) (iii) y-4)(y-3) (iv) (y-7)(y+3) (vi) (2x-3)(2x+5) (vii) (3x+4)(3x-5)

Find each of the following products: (i) (x + 3) (x - 3) (ii) (2x + 5)(2x - 5) (ii) (8 + x)(8 - x) (iv) (7x + 11y) (7x - 11y) (v) (5x^(2) + (3)/(4) y^(2)) (5x^(2) - (3)/(4) y^(2)) (vi) ((4x)/(5) - (5y)/(3)) ((4x)/(5) + (5y)/(3)) (vii) (x + (1)/(x)) (x - (1)/(x)) (viii) ((1)/(x) + (1)/(y)) ((1)/(x) - (1)/(y)) (ix) (2a + (3)/(b)) (2a - (3)/(b))