harleighsteele harleighsteele
  • 25-04-2021
  • Mathematics
contestada

If 16*x=1/64, find the value of x

Respuesta :

Sandylove
Sandylove Sandylove
  • 25-04-2021

Answer:

I think it is x=1/1024 not sure but try it

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jimrgrant1 jimrgrant1
  • 25-04-2021

Answer:

x = - [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Assuming you mean

[tex]16^{x}[/tex] = [tex]\frac{1}{64}[/tex]

note that 16 = 4² and 64 = 4³ , so

[tex](4^{2} )^{x}[/tex] = [tex]\frac{1}{4^{3} }[/tex]

[tex]4^{2x}[/tex] = [tex]4^{-3}[/tex]

Since the bases on both sides are equal, both 4, then equate exponents

2x = - 3 ( divide both sides by 2 )

x = - [tex]\frac{3}{2}[/tex] ( = - 1.5 )

Answer Link

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