Natural Log Calculator
Calculate natural logarithm (ln) - logarithm with base e.
Calculate ln(x)
ln()
Calculate e^x (Inverse)
e^
e^2.302585 =
9.999999
Euler's Number (e)
e = 2.718281828459045
ln(10)
2.3025850930
Logarithms of 10
ln (base e)2.3025850930
log10 (common)1.0000000000
log2 (binary)3.3219280949
Verification
e^(ln(10)) should equal 10
e^2.302585 = 10.000000
10^(log10(10)) should equal 10
10^1.000000 = 10.000000
Natural Logarithm Properties
Basic Properties
ln(1) = 0
ln(e) = 1
ln(e^x) = x
e^(ln(x)) = x
Product/Quotient
ln(xy) = ln(x) + ln(y)
ln(x/y) = ln(x) - ln(y)
Power Rule
ln(x^n) = n * ln(x)
ln(sqrt(x)) = ln(x) / 2