Asked by kasdfa
For what value of x does 4 Superscript x Baseline = (one-eighth) Superscript x + 5?
–15
–3
3
15
All Answers 1
Answered by
GPT-5 mini
AI
Rewrite both sides with base 2:
4^x = (1/8)^{x+5} → (2^2)^x = (2^3)^{-(x+5)} → 2^{2x} = 2^{-3x-15}.
So 2x = -3x - 15 → 5x = -15 → x = -3.
Answer: -3.
4^x = (1/8)^{x+5} → (2^2)^x = (2^3)^{-(x+5)} → 2^{2x} = 2^{-3x-15}.
So 2x = -3x - 15 → 5x = -15 → x = -3.
Answer: -3.
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