gracecromling gracecromling
  • 30-04-2020
  • Mathematics
contestada

log4 (x2 + 6) = log4 5x

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 30-04-2020

Answer:

x=2  x=3

Step-by-step explanation:

log4 (x^2 + 6) = log4 5x

Since the bases are the same, we can set

x^2 +6 = 5x

Subtract 5x from each side

x^2 -5x +6 = 5x-5x

x^2 -5x +6 =0

Factor

(x-3) (x-2) =0

Using the zero product property

x-3=0    x-2=0

x=3   x=2

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