Question

3^2n when divided by 8 leaves the remainder 1.

Answer 1

The value of $n$ is $1$

Step-by-step explanation:

Given,

$3^{2n}$ divided by $8$ leaves the remainder $1$

That means,

$\frac{3^{2n}}{8}=1$

⇒$3^{2n}=8$

⇒$3^{2n}=3^{1.9}$ (∵ $3^{1.9}=8$)

By comparing both sides,

⇒$2n=1.9$

⇒$n=\frac{1.9}{2}$

⇒$n=9.5$

⇒$n$≈ $1$

So, The value of $n$ is $1$

Answer 2

Answer:

Step-by-step explanation: