avalosstammy avalosstammy
  • 11-04-2019
  • Mathematics
contestada

Solve the exponential equation. 8x = 1/4 -2 -2/3 2/3

Respuesta :

gmany
gmany gmany
  • 16-04-2019

Answer:

[tex]\large\boxed{x=-\dfrac{2}{3}}[/tex]

Step-by-step explanation:

[tex]8^x=\dfrac{1}{4}\\==============\\\\8=2^3\\\\\dfrac{1}{4}=\dfrac{1}{2^2}=2^{-2}\\\\===============\\\\(2^3)^x=2^{-2}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{3x}=2^{-2}\iff3x=-2\qquad\text{divide both sides by 3}\\\\x=-\dfrac{2}{3}[/tex]

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