लघुगणक कैलकुलेटर — सूत्र

How Logarithms Work

Definition

log_b(x) = y means b^y = x

The logarithm answers: "To what power must I raise the base to get this number?"

Common Types

  • log₁₀(x): Common logarithm (base 10)
  • ln(x): Natural logarithm (base e ≈ 2.71828)
  • log₂(x): Binary logarithm (base 2)

    • Change of Base Formula

    log_b(x) = ln(x) / ln(b)

    हल किया गया उदाहरण

    Calculate the logarithms of 100.

    1. log₁₀(100) = 2 (because 10² = 100)
    2. ln(100) ≈ 4.605170
    3. log₂(100) = ln(100)/ln(2) ≈ 6.643856