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D. x = 3

Step-by-step explanation:

- 3 = - 2

First, convert to base 2:

=

- 3 = - 2

Next, convert to base 2:

=

- 3 =   - 2

Apply exponent rule: = :

=

- 3 = - 2

Apply exponent rule: = :

=

- 3 = - 2

Apply exponent rule: = :

= * , = *

* - 3 = * - 2

Apply exponent rule: = :

= , =

* - 3 = * - 2

Rewrite the equation with :

* - 3 = * - 2

Solve * - 3 = * - 2:

* - 3 = * - 2

Refine:

- 3 = - 2

Add 3 to both sides:

- 3 + 3 = - 2 + 3

Simplify:

= + 1

Multiply by the Least Common Multiplier (64u):

* 64u = + 1 * 64u

Simplify:

* 64u = + 1 * 64u

Simplify * 64u:

1024

Simplify * 64u:

Substitute:

1024 = + 64u

Solve for u:

u = 8

Substitute back u = :

8 =

Solve for x:

x = 3