ln b = x – Natural Logarithm – calculator online

ln b = x

logb = x

b =

How to find the natural logarithm ln b = x?

ln b is logarithm of b to base e.

x is the exponent to which you need to raise base e to get b.

Euler’s number e ≈ 2.71828

ln b = x ⇔ ex = b

Symbol: ln b = log e b = log e (b) = log (b, e)

Examples:

ln 1 = x ⇔ ex = 1 ⇔ 2.72x = 1 ⇒ x = 0 

ln 2 = x ⇔ ex = 2 ⇔ 2.72x = 2 ⇒ x = 0.7

ln 5 = x ⇔ ex = 5 ⇔ 2.72x = 5 ⇒ x = 1.6

ln 10 = x ⇔ ex = 10 ⇔ 2.72x = 10 ⇒ x = 2.3