Let d be the number of days from day 1.
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- Take log: h × log(1.08) > log(1.6) → h > log(1.6)/log(1.08) ≈ 0.2041 / 0.03342 ≈ <<0.2041/0.03342≈6.096>>6.096
- So h = 7 full hours are needed.
- A science policy analyst is comparing energy output from three renewable sources: solar, wind, and hydro. Solar generates 120 MWh on day one, increasing by 10% daily. Wind generates 150 MWh daily with no growth. Hydroelectric is 90 MWh daily. After how many full days will solar’s daily output exceed both wind and hydro combined?
- Solar output after d days: 120 × (1.10)^d
- Wind + hydro combined: 150 + 90 = 240 MWh (constant)
- We solve: 120 × (1.10)^d > 240 → (1.10)^d > 2
