How this calculator works
The constant e is approximately 2.718281828459045. Raising it to a real exponent gives a positive result, and taking the natural logarithm reverses that operation. Neither operation requires a unit. The result is rounded only for display. Very large positive or negative exponents can exceed the finite numeric range.
Formula
y = e^x; x = ln(y), y > 0.
Worked example
e^0 = 1 and e^1 is approximately 2.718281828459045.
Advertisement
Frequently asked questions
Can the answer be negative?
The logarithm may be negative, but a power of a positive base is always positive.
What happens at one?
Every valid logarithm of one is zero. Raising a valid base to zero gives one.
How precise is the answer?
Calculations use standard floating-point arithmetic. The displayed result has up to ten decimal places, and overflow or underflow produces an error.