Question

1/2 to power n = 8 find n

Answer 1

Answer:

n = -3

Step-by-step explanation:

Given :

$(1/2)^{n} = 8$

to find :

the value of n

Solution :

$(1/2)^{n} = 8$

$2^{-n} = 8$

$(2)^{-n} = (2)^3$

Now base in LHS and RHS is equal .

therefore we get,

$-n = 3$

$n = -3$

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Answer 2

Answer:

n = -3

Step-by-step explanation:

$(\frac{1}{2})^{n} = 8 \\\\ => \frac{1}{2^{n}} = 2^{3} \\\\=> 2^{-n} = 2^{3} \\\\=> -n =3\\\\=>n=-3$