Use the change of base formula to compute log5 9. Round your answer to the nearest thousandth.

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asked Nov 16, 2018 56.5k views

1 Answer

Koray Elbek · Answer 1 · 2018-11-21T23:59:27+0000

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)

Use the change of base formula to compute log5 9. Round your answer to the nearest thousandth.

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