ridleyroo613
ridleyroo613 ridleyroo613
  • 28-06-2020
  • Mathematics
contestada

Solve the exponential equation. 4x = 0.5 -2 -1 -1/2

Respuesta :

09pqr4sT
09pqr4sT 09pqr4sT
  • 28-06-2020

Answer:

[tex]x=-1/2[/tex]

Step-by-step explanation:

[tex]4^x=1/2[/tex]

Make the bases 2 on both sides of the equation.

[tex]2^{2^x}=2^{-1}[/tex]

Multiply the exponents.

[tex]2^{2x}=2^{-1}[/tex]

Cancel the bases.

[tex]2x=-1[/tex]

Divide 2 into both sides of the equation.

[tex]x=-1/2[/tex]

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