Question

Using properties of logarithms, given ln 2 = 0.6931 and ln 3 = 1.0986, what is ln 24?

a) 2.7912
b) 3.1978
c) 3.4856
d) 3.8903

Answer 1

Using the property of logarithms, we can find the value of ln 24 by applying the property to ln 2 and ln 3. The value of ln 24 is approximately 3.1779.

Step-by-step explanation:

Using the property of logarithms that states log(a) - log(b) = log(a/b), we can find ln 24 by applying this property to ln 2 and ln 3.

1. ln 24 = ln (8 imes 3) = ln (8) + ln (3) = 3 imes ln (2) + ln (3)
2. Using the given values of ln 2 and ln 3, we substitute in the values: ln 24 = 3 imes 0.6931 + 1.0986 = 2.0793 + 1.0986 = 3.1779

Therefore, the value of ln 24 is approximately 3.1779.