Question

The solution forX^8=10(mode11) is

Answer 1

Answer:

hope it is useful

Step-by-step explanation:

Given:

The given expression is:

x^8=10(\text{mod}\ 11)x

8

=10(mod 11)

To find:

We should find the value of xx by solving the given expression.

Solution:

According to the given question, the given expression is,

\Rightarrow x^8=10(\text{mod}\ 11)⇒x

8

=10(mod 11)

Here, 10 is the dividend and 11 is the divisor, when mod is done, 0 is the quotient and 10 is the remainder.

The value of 10(\text{mod}\ 11)=1010(mod 11)=10 .

\Rightarrow x^8=10⇒x

8

=10

Take power \frac{1}{8}

8

1

on both sides.

\Rightarrow (x^8)^\frac{1}{8}=10^\frac{1}{8}⇒(x

8

)

8

1

=10

8

1

Simplifying the above expression.

\Rightarrow x=10^\frac{1}{8}⇒x=10

8

1

The value of 10^\frac{1}{8}10

8

1

is equal to 1.331.33 .

Now put above value in previous expression.

\Rightarrow x=1.33⇒x=1.33

Therefore, the value of xx is equal to 1.331.33 .

hope it is useful

Answer 2

Answer:

easy

Step-by-step explanation:

x down 8-10 = 2 + (mode 11) = mode 13

so the answer is (mode13)