SOLUTION: Solve and leave answer in interval notation. (1/4)^3x<6^x-2

Take logs of both sides:








Let  and 
















Now we will divide through by (3A-B), but first we must calculate 
3A-B to find out whether we are dividing by a positive or a negative
so that we will know whether or not we must flip the inequality
symbol from < to > or leave it as it is.

 = -2.584331224 which is negative
so we must flip the inequality symbol:





Substitute  and 











Edwin