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Change of base formula

Logarithms · Mathematics

Study notes

Q: Evaluate log₂(100) using common logs. Simplify log₃(5) · log₅(9). Part A: log₂(100) = log₁₀(100)/log₁₀(2) = 2/0.3010 = 6.644. Part B: log₃(5) · log₅(9) = log₃(9) (chain rule) = 2, since 3² = 9.

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