Find all `x in R` for which `log_3(x-3) = log_9 (x-1)`.

Find the values of 'a' for which, f(x)={(4x-x^(3)+log(a^(2)-3a+3)",",0lexlt3),(" "x-18",",xge3):} f(x) as a local minima at x=3 is

The values of x, satisfying the equation for AA a > 0, 2log_(x) a + log_(ax) a +3log_(a^2 x)a=0 are

The domain of sin^-1 [log_3 (x//3)] is :

Find domain of f(x)=log_(10)(1+x^(3)) .

Find all a in R s.t. the function f(X) = (a+2) x^3 - 3 ax^2 +9 ax - 1 decrease for all x in R.

Solve the equation log(3x^(2)+x-2)=3log(3x-2) .

Find the domain f(x)=log_(100x)((2 log_(10) x+1)/-x)

lim_(x->1) (log_3 3x)^(log_x 3)=

Find the domain of the function f(x)=log_(e){log_(|sinx|)(x^(2)-8x+23)-(3)/(log_(2)|sinx|)}

Solve the following equation. (log_10(x-3))/log_(10)(x^2-21)=1/2