Respuesta :

DarlinEsteves

Answer:

[tex]x = 0[/tex]

Step-by-step explanation:

Write the number in exponential form with the base of 2:

[tex] {2}^{x - 3} = {2}^{ - 3} [/tex]

Since the bases are the same, set the exponents equals.

[tex]x - 3 = - 3[/tex]

Cancel equal terms on both sides of the equation:

[tex]x = 0[/tex]

Given

[tex]2 {}^{x - 3} = \frac{1}{8} [/tex]

To Find value of 'x'

Solution

[tex]2 {}^{x - 3} = \frac{1}{8} \\ \\ \implies2 {}^{x - 3} = 2 {}^{ - 3} \\ \\ \\ Since \: Bases \: Are \\ Equal \: We \: Need \\ To \: Evaluate \\ The \: Powers \\ \\ \implies \: x - 3 = - 3 \\ \\ \implies x = - 3 + 3 \\ \\ \implies \: x = 0[/tex]

[tex] \fbox \red{Hope This Helps You ❤}[/tex]