Evaluate logarithmic functions f(x) = a + b·ln(x) and visualize the curve.
Function Parameters
Standard Formf(x) = a + b · ln(x)
Result
f(x) Value2.3026
ln(x)2.3026
f(x)
Uses the natural logarithm (base e). To convert to log₁₀, divide ln(x) by ln(10) ≈ 2.303.
About this calculator
Logarithmic Functions
Logarithmic functions are the inverse of exponential functions. They grow very slowly for large x but dive to negative infinity as x approaches 0 from the right.
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Pro Tips
Domain: Logarithms are only defined for positive real numbers (x > 0).
Asymptote: There is always a vertical asymptote at x = 0.
Growth: Even though it grows slowly, ln(x) approaches infinity as x increases.
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Fun Facts
"The decibel scale for sound intensity is logarithmic."
"The Richter scale for earthquakes is logarithmic."
"Human perception of brightness and loudness follows a logarithmic law (Weber-Fechner)."
