Question

Solve:

Answer 1

Answer:

$x = 0$

Step-by-step explanation:

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

${2}^{x - 3} = {2}^{ - 3}$

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

$x - 3 = - 3$

Cancel equal terms on both sides of the equation:

$x = 0$

Answer 2

Given

$2 {}^{x - 3} = \frac{1}{8}$

To Find value of 'x'

Solution

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

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