Let d be the number of days from day 1.

February 22, 2026

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

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