Question

(√2) to the power n = 64. Find the value of n. ​

Answer 1

Answer:

Hii

Correct option is

D

12

2

n

=64

⇒2

n/2

=2

6

So,

2

n

=6

n=12.

Step-by-step explanation:

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Answer 2

Answer:

$(\sqrt{2})^n=64$

$(2^{\frac{1}{2} })^n=64$

$2^{\frac{n}{2}}=64$

We know  $64=8^2=4^3=2^6$

$2^{\frac{n}{2}}=2^6$

Bases are same,

$\frac{n}{2}=6$

$n=6 \times 2$

$n=12$

$@rohangupta0424$