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

Algebra.Com
Question 978245: Solve and leave answer in interval notation. (1/4)^3x<6^x-2
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!



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

RELATED QUESTIONS

Solve inequality and answer in interval notation... (answered by ewatrrr)
solve and write the answer in set builder notation or interval notation... (answered by Fombitz)
solve the inequality and write in interval notation :... (answered by lwsshak3)
solve: 2-3x<6 and 2x+1>4 write the solution set in interval... (answered by stanbon)
solve the inequality and write the answer in interval notation... (answered by stanbon)
Solve and give answer in interval notation... (answered by jim_thompson5910)
Solve and give answer in interval notation {{{x^2 >=... (answered by jim_thompson5910)
Solve and answer in interval notation: -3x - 12 < -9 and 2(x+7) ≥... (answered by lwsshak3)
solve inequality and write answer in interval notation... (answered by KMST)