isaacchitembo23 isaacchitembo23
  • 28-02-2021
  • Mathematics
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2log2(x + 15)_log2x=6​

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rimsha81
rimsha81 rimsha81
  • 28-02-2021

Answer:

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sqdancefan
sqdancefan sqdancefan
  • 28-02-2021

9514 1404 393

Answer:

  x = 9 or 25

Step-by-step explanation:

Taking antilogs and solving the quadratic, you have ...

  [tex]\dfrac{(x+15)^2}{x}=2^6\\\\x^2 +30x +225 = 64x\qquad\text{multiply by x}\\\\x^2 -34x +225 = 0\qquad\text{subtract $64x$}\\\\(x -25)(x -9)=0\qquad\text{factor}\\\\\boxed{x=25\quad\text{or}\quad x=9} \qquad\text{values that make the factors 0}[/tex]

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