If `( 2/3 )^(x - 1 ) = ( 3/2 )^(x-5 )` , then x is equal to :

If ((3)/(5))^(2x)=1 , then x is equal to-

lim _ ( x to 2 ) ( 3 ^(x) + 3 ^( 3 - x ) - 12 ) /( 3 ^( - x//2) - 3 ^( 1 -x)) is equal to __________

If (x+1/x)=3 then x^2+1/x^2 is equal to

If (x - 1/x) = 5 , then x^3 - 1/(x^3) equals :

If ((3)/(5))^(3)((3)/(5))^(-6)=((3)/(5))^(2x-1), then x is equal to a.-2b.-1c.1d.2, then x is

If (x+1/x)=2 then (x^3+1/x^3) is equal to:

If f(x) = (x - 1)(x - 2)(x - 3)(x - 4)(x - 5) , then the value of f' (5) is equal to

If | [ 3 , x ], [ x , 1 ] | = | [ 3 , 2 ] , [ 4 , 1 ] | , then x is equal to :

If (x ^(2) +x+1) + (x^(2) + 2x +3) + (x^(2) + 3x +5) + ….. + (x ^(2) + 20x + 39) =4500, then x is equal to :