Natural Logarithm Calculator

Natural logarithm calculator. ln(x) calculator.

The natural logarithm of x is:

ln x = log_e x = y

Enter the input number x and press the  =  button:

Like any excess logarithms, the everyday logarithm of x returns the strength, or type, to which a given base e should be raised to yield back the quantity x. It is all of the greater clear this idea whilst the base is an entire number, for instance, 2 or 3:

log₂ 16 = four given that 2⁴ = sixteen

log₃ 81 = four since 3⁴ = eighty one

In the case of the regular logarithm, that is quite less regular in light of the fact that its base, e, is in reality now not a number of. However, because the value of e is some location within the scope of two and three, we fathom that e⁴ need to be some location near 2⁴ = sixteen and 3⁴ = 81.

It turns out that e⁴ = 54.498. This equilibrium can be communicated to the quantity that the everyday logarithm inside the going with manner, which you can check through the use of the ln calculator:

ln fifty four.498 = four

Here are a few examples of normal logarithm:

• ln 1 = zero seeing that e⁰ = 1
• ln 10 = 2.3026 due to the fact that e^2.3026 = 10
• ln 20 = 2.996 considering that e^2.996 = 20
• ln 50 = 3.912 seeing that e^3.912 = 50
• ln one hundred = four.605 due to the fact that e^4.605 = one hundred