Find values of 'x' so that `log_(absx)abs(x-1)ge0`.

Find the value of x such that log_(0.3)(x-1) = log_(0.09)(x-1) .

Find the value of x satisfying (log_(10)(2^(x)+x-41)=x(1-log_(10)5)

Solve log_(1-x)(x-2) ge-1 .

5.Find the value of lim_(x->0) log(1+x)/(x)

5.Find the value of lim_(x->0) log(1+x)/(x)

Find the value of f(0) so that the function f(x)=([log (1+x//12)-log (1-x//8)])/x , x ne 0 is continuous on [0,8].

Find the value of x satisfying log_a{1+log_b{1+log_c(1+log_px)}}=0 .