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16-08-2017
Mathematics

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Use the change of base formula to compute log5 9.

Round your answer to the nearest thousandth.

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Аноним Аноним

23-08-2017

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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