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

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Answer 1 · 2017-08-12T12:37:35

Solution : $x >= 15 or [15,oo)$

$2^(4x) >= 8^(x+5) or 2^(4x) >= 2^(3(x+5))$ or

$4x >= 3(x+5) or 4x >= 3x +15 or (4x-3x) >= 15$ or

$x >= 15$

Solution : $x >= 15 or [15,oo)$ {Ans]

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