How do you solve [tex]\left(\frac{1}{2}\right)^4 = 2^x[/tex]?

2 1 ​ 4 = 2 x ∣ W r i t e 2 a s 2 1 ​ − 1 2 1 ​ 4 = 2 1 ​ − 1 ∗ x 2 1 ​ 4 = 2 1 ​ − x 4 = − x ∣ M u lt i pl y b y − 1 x = − 4 S o l u t i o n i s x = − 4.

Answered by luana | 2024-06-10

To solve the equation ( 2 1 ​ ) 4 = 2 x , rewrite the left side as 2 − 4 . Setting the exponents equal gives x = − 4 . Therefore, the solution is x = − 4 .
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Answered by luana | 2024-12-26