Find the value of log_(2) (2root(3)9-2) + log_(2)(12root(3)3+4+4root(3)9).`

Find the value of log_(2/3)""8/27

Find the value of 3^(2log_(9)3) .

Find the value of log_(5) log_(2)log_(3) log_(2) 512 .

Find the value of (4/(log_(2)(2sqrt3))+2/(log_(3) (2sqrt3)))^(2) .

Find the value of int_(0)^(1)root(3)(2x(3)-3x^(2)-x+1)dx .

Find the value of log_(1//3)root(4)(729*root(3)(9^(-1)*27^(-4//3))) .

Find the value of the product: |(log_(3)64,log_(4)3),(log_(3)8,log_(4)9)|xx|(log_(2)3,log_(8)3),(log_(3)4,log_(3)4)|

Show that root3(2) > root5(3)

Solve for x: log_(4) log_(3) log_(2) x = 0 .