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svp [43]
3 years ago
5

Use the change of base formula to compute log5 9.

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
5 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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