CALCULATOR
Sum of Two Natural Logs as Log of a Product Calculator
Sum of Two Natural Logs as Log of a Product. Example: A: 2 number, B: 3 number gives 1.79175946923 number. Exactly two positive dimensionless factors; numerical natural log result, no symbolic expression parser. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.
Exactly two positive dimensionless factors; numerical natural log result, no symbolic expression parser. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Exponential multiplication rule implies natural logarithm product rule.
Accepted inputs: A: 0.000001 to 1,000,000 number; B: 0.000001 to 1,000,000 number.
How the calculation works
ln(a)+ln(b)=ln(ab)
Worked example
With a 2 number, b 3 number, sum of two natural logs as log of a product is 1.791759469 number.
Assumptions and limits
Exactly two positive dimensionless factors; numerical natural log result, no symbolic expression parser. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Exponential multiplication rule implies natural logarithm product rule.