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18 August, 01:48

Use the change of base formula to compute log5 9.

Round your answer to the nearest thousandth.

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Answers (1)
  1. 18 August, 05:26
    0
    Let log₅9 = x

    Then

    5ˣ = 9

    Take log to base 10 of both sides.

    log₁₀5ˣ = log₁₀9

    x log₁₀5 = log₁₀9

    Therefore

    log₅9 = log₁₀9/log₁₀5

    = 0.9542/0.699

    = 1.3652

    Answer: 1.365 (nearest thousandth)
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