Question

How do you solve the exponential inequality `2^(4x)>=8^(x+5)`?

Answer 1

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]