Log Base 5 of 10
Logarithm Calculator
What is log₅ 10?
Answer
log5 10 ≈
1.4307
log5 is the log base 5.
≈ — the logarithm is irrational; the value is rounded to 4 decimal places.
log5 10 is the power you raise 5 to, to get 10: 5y = 10.
5¹ = 5 < 10 < 25 = 5², so 1 < log5 10 < 2
log5 10 = ln 10 / ln 5 ≈ 2.302585 / 1.609438 ≈ 1.4307
Answer point ≈ (10, 1.4307).
The curve y = log5 x passes through (1, 0) and (5, 1) and rises: for x > 1 the log is positive, for 0 < x < 1 negative.
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See Also
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