skylar3422 skylar3422
  • 15-04-2020
  • Mathematics
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Log2(3x+8)=5 what is x

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sqdancefan
sqdancefan sqdancefan
  • 15-04-2020

Answer:

  x = 8

Step-by-step explanation:

Taking the antilog, you have ...

  3x +8 = 2^5 = 32

  3x = 24 . . . . subtract 8

  x = 8 . . . . . . .divide by 3

___

You can have a graphing calculator show you the answer. Subtracting 5 from both sides gives ...

  log2(3x +8) -5 = 0

The calculator can plot the left-side function and show you the value of x that makes it zero. That value is x=8.

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