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ACT® Math

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Difficult

Power to a Power

ACTMAT-0QKLN0

If:

$$ { 16 }^{ x+2 }={ 8 }^{ 2x-3 } $$

...then $x = ?$

A

$ 4 $

B

$ \cfrac { 17 }{ 2 } $

C

$ \cfrac { 5 }{ 3 } $

D

$ 6 $

E

$ \cfrac { 5 }{ 2 } $