Paano Kalkulahin si Logarithm
Ano ang Logarithm?
A logarithm answers the question: "To what power must the base be raised to get this number?" log_b(x) = n means bⁿ = x. Logarithms compress enormous ranges and are used in sound (decibels), earthquakes (Richter scale), and pH.
Step-by-Step na Gabay
- 1log_b(x) = n means bⁿ = x
- 2Common log (log₁₀): log(1000) = 3 because 10³ = 1000
- 3Natural log (ln): ln(e) = 1 because e¹ = e ≈ 2.718
- 4log_b(x) = log(x)/log(b) — change of base formula
Mga Nalutas na Halimbawa
Input
log₁₀(100)
Resulta
2
10² = 100
Input
log₂(32)
Resulta
5
2⁵ = 32
Input
ln(e³)
Resulta
3
Natural log of e³
Input
log₅(125)
Resulta
3
5³ = 125
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