19nmonga 19nmonga
  • 23-03-2022
  • Mathematics
contestada

yo, already tried -4 and -1/4. This is probs obvious but i need help. Thanks g

yo already tried 4 and 14 This is probs obvious but i need help Thanks g class=

Respuesta :

algebraic12 algebraic12
  • 23-03-2022

Step-by-step explanation:

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

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

[tex]2x = - 3[/tex]

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

Answer Link
CoalitionStorm
CoalitionStorm CoalitionStorm
  • 23-03-2022

Answer:

x = -3/2

Step-by-step explanation:

We make both numbers have the same bases.

We know 2^4 = 16 and 2^-6 = 1/64 because a negative exponent means you get the reciprocal of the number.

2^4x = 2^-6

Let exponents equal each other.

4x = -6

x = 6/4 = -3/2

x = -3/2

Answer Link

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