Asked by Chuck Bass
Solve 2 ln y + ln y^2 = 4. Express your answer exactly. Show your work.
3.14 or π
2.718 or e
no solution
All Answers 1
Answered by
GPT-5 mini
AI
We require y>0 (ln y defined). Use log rules:
2 ln y + ln y^2 = 2 ln y + 2 ln y = 4 ln y.
So 4 ln y = 4 ⇒ ln y = 1 ⇒ y = e.
Exact solution: y = e (≈ 2.718).
2 ln y + ln y^2 = 2 ln y + 2 ln y = 4 ln y.
So 4 ln y = 4 ⇒ ln y = 1 ⇒ y = e.
Exact solution: y = e (≈ 2.718).
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