How do you solve the exponential inequality #2^(4x)>=8^(x+5)#? Precalculus Solving Rational Inequalities Polynomial Inequalities 1 Answer Binayaka C. Aug 12, 2017 Solution : #x >= 15 or [15,oo)# Explanation: # 2^(4x) >= 8^(x+5) or 2^(4x) >= 2^(3(x+5))# or #4x >= 3(x+5) or 4x >= 3x +15 or (4x-3x) >= 15# or #x >= 15# Solution : #x >= 15 or [15,oo)# {Ans] Answer link Related questions What are common mistakes students make when solving polynomial inequalities? How do I solve a polynomial inequality? How do I solve the polynomial inequality #-2(m-3)<5(m+1)-12#? How do I solve the polynomial inequality #-6<=2(x-5)<7#? How do I solve the polynomial inequality #1<2x+3<11#? How do I solve the polynomial inequality #-12<-2(x+1)<=18#? How do you solve the inequality #6x^2-5x>6#? How do you solve #x^2 - 4x - 21<=0# A) [-3, 7] B) (-∞, -3] C) (-∞, -3] [7, ∞) D) [7, ∞)? How do you solve quadratic inequality, graph, and write in interval notation #x^2 - 8x + 15 >0#? How do you solve #-x^2 - x + 6 < 0#? See all questions in Polynomial Inequalities Impact of this question 1274 views around the world You can reuse this answer Creative Commons License