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Logarithm ची गणना कशी करावी

Logarithm म्हणजे काय?

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.

चरण-दर-चरण मार्गदर्शक

  1. 1log_b(x) = n means bⁿ = x
  2. 2Common log (log₁₀): log(1000) = 3 because 10³ = 1000
  3. 3Natural log (ln): ln(e) = 1 because e¹ = e ≈ 2.718
  4. 4log_b(x) = log(x)/log(b) — change of base formula

Worked Examples

इनपुट
log₁₀(100)
परिणाम
2
10² = 100
इनपुट
log₂(32)
परिणाम
5
2⁵ = 32
इनपुट
ln(e³)
परिणाम
3
Natural log of e³
इनपुट
log₅(125)
परिणाम
3
5³ = 125

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