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Applications of logarithms

Logarithms · Mathematics

Study notes

Q: (a) [H⁺] = 10⁻⁴ M. Find pH. (b) A sound is 1000× the reference intensity. Decibels? (c) Money at 7% continuous. Doubling time? (a) pH = -log(10⁻⁴) = 4. (b) L = 10·log(1000) = 10 × 3 = 30 dB. (c) t = ln(2)/0.07 = 0.693/0.07 = 9.9 years.

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