Question

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Answer 1

Answer:

$x = - 1.$

Step-by-step explanation:

${2}^{x} = \frac{1}{2} \\ {2}^{x} = {2}^{ - 1} \\ x = - 1.$

♨Rage♨

Answer 2

Step-by-step explanation:

Hey there!

Given;

${2}^{x} = \frac{1}{2}$

We know that (1/2) can be written as 2^-1. So, it will be;

${2}^{x} = {2}^{ - 1}$

Looking on both sides we find that both have same base. So,

x = -1

(Note: While solving the exponential equation you must make base same by simplifying them and then equate the power)

Hope it helps...