slydawg1000 slydawg1000
  • 25-12-2023
  • Mathematics
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6^x-3=1/36 solve for x

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samuravadish samuravadish
  • 25-12-2023

[tex] {6}^{x - 3} = \frac{1}{36} [/tex]

[tex] {6}^{x - 3} = \frac{1}{ {6}^{6} } [/tex]

[tex] {6}^{x - 3} = {6}^{ - 6} [/tex]

when bases are equal we equate powers

[tex]x - 3 = - 6[/tex]

[tex]x = - 3[/tex]

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