`log_x (x^3-x^2-2x)lt3`

Solve the following inequalities (i) |log_(3)x|-log_(3)x-3 lt 0 (ii)(x-1)/(log_(3)(9-3^(x))-3) le 1 (iii)log_((x-1)/(x-5))(x-2) gt 0 (iv) log_(x)(x^(3)-x^(2)-2x) lt 3

Solve log_(x+3)(x^(2)-x) lt 1 .

Solve log_(x+3)(x^(2)-x) lt 1 .

Solve the equation: log_(2x+3)x^(2) lt log_(2x)(2x+3)

If log_3 2+log_3 (2^x-7/2)=2log_3 (2^x-5) then x=

If (log)_(10)(x^3+y^3)-(log)_(10)(x^2+y^2-x y)lt=2, and x ,y are positive real number, then find the maximum value of x ydot

If (log)_(10)(x^3+y^3)-(log)_(10)(x^2+y^2-x y)lt=2, and x ,y are positive real number, then find the maximum value of x ydot