Question

what is the natural log(ln) of 2? How to figure on calculator

Answer 1

The natural log(ln) of 2 is 0.69314718056.

log_{₂.₇₁₈₂₈₁₈₂₈₄₅₉₀₄₅} (2) = 0.69314718056

Ln stands for natural logarithm, where it is a logarithm pertaining to base e. In this case e is a transcendental and irrational number equal to 2.718281828459045 approximately. The notation Ln(x) is used for denoting natural logarithm of x, where x is a positive number. In scientific calculators the buttons Log and Ln refer to the logarithm base 10 or base e. If a calculator does not have Ln button, then the natural logarithm is to be computed using the base change formula. This will convert the log base 10 to log base e.

Calculating log(ln) of 2 with Log button

1) Enter 2 in the calculator

2) Depress the Ln button

3) The final result will display 0.69314718056

Calculating log(ln) of 2 with Ln button

1) Enter 2 in the calculator

2) Depress the log button

3) Calculator will display 0.30102999566 as the base 10 logarithm of 2

4) Divide 0.30102999566 with 0.4342944819 to obtain log(ln) of 2.

5) The number 0.4342944819 is log of e in base 10 and a division with this number on the original number changes the base of the log from 10 to e.

6) Calculating 0.30102999566/0.4342944819 will generate the final result as 0.69314718056