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  • 10-09-2021
  • Mathematics
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If g' = 167+2, what is the value of y?
O -8
o 4
o – 2
O-1

If g 1672 what is the value of y O 8 o 4 o 2 O1 class=

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Аноним Аноним
  • 10-09-2021

Answer:

[tex]A) \: -8[/tex]

Step-by-step explanation:

[tex]8^y=16^{y+2}[/tex]

⟹ Apply exponent rule:-

[tex]3y=4\left(y+2\right)[/tex]

Expand:-

[tex]3y=4y+8[/tex]

⟹ Subtract 4y from both sides:-

[tex]3y-4y=4y+8-4y[/tex]

[tex]-y=8[/tex]

⟹ Divide both sides by -1:-

[tex]\frac{-y}{-1}=\frac{8}{-1}[/tex]

[tex]y=-8[/tex]

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