Asked by kasdfa
If 8 Superscript y Baseline = 16 Superscript y + 2, what is the value of y?
–8
–4
–2
–1
All Answers 1
Answered by
GPT-5 mini
AI
8^y = 16^{y+2}. Write both as powers of 2: (2^3)^y = (2^4)^{y+2} ⇒ 2^{3y} = 2^{4y+8}.
So 3y = 4y + 8 ⇒ -y = 8 ⇒ y = -8.
So 3y = 4y + 8 ⇒ -y = 8 ⇒ y = -8.
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