Question

If √2^n = 4, then n = _____​

Answer 1

Answer:

The value of n is 4.

√ 2⁴ = √ 16 = 4

Answer 2

ANSWER:

$n = 4$

EXPLANATION:

$\sqrt{ {2}^{n} } = 4$

${ \sqrt{2^{n} } } = {2}^{2}$

${2}^{ \frac{n}{2} } = {2}^{2}$

$\frac{n}{2} = 2$

$n = 2(2)$

$n = 4$

CHECK:

$\sqrt{2^{n} } = 4$

$\sqrt{ {2}^{4} }$

${2}^{ \frac{4}{2} } = 4$

${2}^{2} = 4$

$4 = 4$

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