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