CALCULATOR
Logarithm in a Supplied Base Greater Than One Calculator
Logarithm in a Supplied Base Greater Than One. Example: Value: 64 number, Base: 4 number gives 3 number. Dimensionless positive argument, supplied base1.01..100; excludes base≤1 to ensure denominator safely nonzero. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.
Dimensionless positive argument, supplied base1.01..100; excludes base≤1 to ensure denominator safely nonzero. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Take natural logarithms on both sides of base^result=value.
Accepted inputs: Value: 0.000001 to 1,000,000 number; Base: 1.01 to 100 number.
How the calculation works
log_base(value)=ln(value)/ln(base)
Worked example
With value 64 number, base 4 number, logarithm in a supplied base greater than one is 3 number.
Assumptions and limits
Dimensionless positive argument, supplied base1.01..100; excludes base≤1 to ensure denominator safely nonzero. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Take natural logarithms on both sides of base^result=value.