195mason195
195mason195 195mason195
  • 25-03-2020
  • Mathematics
contestada

If 16 to the power of x = 1/64. what is the value of x?

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ItzFrozenflame
ItzFrozenflame ItzFrozenflame
  • 25-03-2020

Answer:

[tex] \: \: \: \: \: \: \: \: {16}^{x} = \frac{1}{64} \\ = > {2}^{4x} = \frac{1}{ {2}^{6} } \\ = > {2}^{4x} = {2}^{ - 6} \\ = > 4x = - 6 \\ = > x = \frac{ - 6}{4} \\ = > x = \frac{ - 3}{2} [/tex]

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Аноним Аноним
  • 25-03-2020

Answer:

-3\2

Step-by-step explanation:

16^x= 1/64

2^4x=1/2^6

2^4x=2^-6 the numbers will cancel each other

4x=-6

x=-6/4

x=-3/2

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