s3dve4799g s3dve4799g

13-05-2021
Mathematics

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Find the exact solution to the equation. 5^(6-2x) = 25

Respuesta :

jimrgrant1 jimrgrant1

13-05-2021

Answer:

x = 2

Step-by-step explanation:

Note that 25 = 5² , then

[tex]5^{(6-2x)}[/tex] = 5²

Since the bases on both sides are 5 then equate the exponents

6 - 2x = 2 ( subtract 6 from both sides )

- 2x = - 4 ( divide both sides by - 2 )

x = 2

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