
Natural Log Calculator (or Natural Logarithm Calculator) is an online tool for calculating the natural logarithm of a number x, which is generally written as In(x) or log_{e}(x). The natural logarithm is said to be the logarithm to the baseĀ ' e ', where ' e ' is an irrational constant that is approximately equal to 2.7182818. 
Laws of Natural Logarithms
Below you could see laws which helps us to solve the problems of natural log.
Here, In x = log_{e} x
In (e) = 1
In (x * y) = (In x) + (In y). (Product Rule)
In $(\frac{x}{y})$ = (In x)  (In y) (Quotient Rule)
In (x^{n}) = (n) In x (Power Rule)
Apply the laws of natural log depending on the construction of the problem.
Natural log, ln 3 = 1.10 and ln 5 = 1.61 . Find ln 45
Since 45 = (5)(3^{2}) We have
Apply the laws of natural log for (45)
We use (Product Rule) here,
In (x * y) = (In x) + (In y).
ln 45 = ln (5)(3^{2})
= ln 5 + ln 3^{2}
= 1.61 + 2 ln 3
= 1.61 + 2 (1.10)
3.81
Solving natural log of the given expression, ln(3x + 60) = 4.
Given: ln(3x + 60) = 4
Conversions of the natural log to exponential form:
3x + 60 = e^{4}
Where e = 2.7182818
3x + 60 = 54.5981 [ e^{4} = 54.59815]
Take 60 on both sides
(3x + 60 )  60 = 54.5981 60
3x = 5.4019
Divide by 3 on both sides
x = 1.8006
Therefore, by solving natural log equation we get the value of x =  1.8006.
 1.8006.