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Unit converter
Calculators
Energy and fuel Construction Fractions Equations Area and perimeter Volume and surface Trigonometry Powers and roots Logarithms Calculus BMI calculator Percentages Rule of three Average
Quantities
Time Length Weight Density Torque Volume Area Work (energy) Flow rate Speed Force Pressure Power Temperature Data size Data rate
Conversion tables
Conversion tables Cooking conversions Imperial units Old Czech units Density (liters to kg) kW to hp and Nm kJ to kcal and kWh Pressure: bar, psi, kPa Speed: km/h, m/s Flow: l/min, m³/h Slope: % and degrees Oven temperature SI prefixes Roman numerals Data units (MB, GiB) Mbps to MB/s Fuel: l/100 km and MPG Temperature conversions
Home / Logarithms

Logarithms

Logarithms explained: common, natural (ln), base-10 and binary. With graphs, rules, equation solving and real-world examples.

Pick a calculator. Each has the computation, a graph, the rules and real-world uses.

Logarithm (logₐx)

logₐx

Calculate a logarithm with any base. With graph, rules and real-world examples.

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Natural logarithm (ln)

ln x = logₑx

Calculate the natural logarithm (base e). With graph and explanation.

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Common logarithm (log)

log x = log₁₀x

Calculate the base-10 logarithm. With graph and explanation.

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Binary logarithm (log₂)

log₂x

Calculate the base-2 logarithm, essential in computing.

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Antilogarithm

antilog = aˣ

Antilogarithm – from a logarithm back to the number (aˣ).

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Logarithmic equation

logₐx = y

Solve logₐx = y for any unknown (base, argument or result), with steps.

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Rules of logarithms

logₐ(x·z) = logₐx + logₐz

Interactive reference of logarithm rules (product, quotient, power, change of base) with examples.

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Quantities

  • Time
  • Length
  • Weight
  • Density
  • Torque
  • Volume
  • Area
  • Work (energy)
  • Flow rate
  • Speed
  • Force
  • Pressure
  • Power
  • Temperature
  • Data size
  • Data rate

Conversion tables

  • Cooking conversions
  • Imperial units
  • Old Czech units
  • Density (liters to kg)
  • kW to hp and Nm
  • kJ to kcal and kWh
  • Pressure: bar, psi, kPa
  • Speed: km/h, m/s
  • Flow: l/min, m³/h
  • Slope: % and degrees
  • Oven temperature
  • SI prefixes
  • Roman numerals
  • Data units (MB, GiB)
  • Mbps to MB/s
  • Fuel: l/100 km and MPG
  • Temperature conversions
  • All tables
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