Question

find the value of x.
$\frac{1}{ {8}^{x} } = 16$
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Answer 1

Answer:

Step-by-step explanation:

1/8^x=16

2^(-3x)=2^4

-3x=4

x=-4/3

Answer 2

Step-by-step explanation:

$\frac{1}{ {8}^{x} } = 16 \\ {8}^{ - x} = 16 \\ ({2}^{3} )^{ - x} = {2}^{4} \\ {2}^{ - 3x} = {2}^{4} \\ - 3x = 4 \\ x = \frac{ - 4}{3}$

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