nataliepeters4 nataliepeters4
  • 02-04-2020
  • Mathematics
contestada

(2/3)^x=3.375. Solve for x

Respuesta :

DeanR
DeanR DeanR
  • 02-04-2020

I'll write log, you can use any base logs you like.

[tex](2/3)^x = 3.375=27/8[/tex]

[tex]x \log(2/3) = \log(27/8)[/tex]

[tex]x = \dfrac{\log(27/8)}{\log(2/3)}}[/tex]

[tex]x = \dfrac{\log( (3/2)^3)}{\log(2/3)}}[/tex]

[tex]x = \dfrac{\log( (2/3)^{-3})}{\log(2/3)}}[/tex]

[tex]x = \dfrac{-3 \log(2/3)}{\log(2/3)}}[/tex]

[tex]x = -3[/tex]

Answer: -3

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