iamsam917 iamsam917
  • 12-04-2024
  • Mathematics
contestada

Solve for x the functions 4^(8-2x)=256

Respuesta :

jimrgrant1 jimrgrant1
  • 12-04-2024

Answer:

x = 2

Step-by-step explanation:

given

[tex]4^{(8-2x)}[/tex] = 256

Note that 256 = [tex]4^{4}[/tex] , then

[tex]4^{(8-2x)}[/tex] = [tex]4^{4}[/tex]

Since bases on both sides are the same, equate the exponents

8 - 2x = 4 ( subtract 8 from both sides )

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

x = 2

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