Answer:
Step-by-step explanation:
Given that ln 2 = 0.6931 and ln 3 = 1.0986
We have to find the values for the given numbers
using properties of log
Properties of log are
log a+log b = log ab: log a-log b = log a/b
a) ln 0.25 = ln 1-ln 4 = -2ln 2 = -1.3862
b) ln 24 = ln 3 (2^3) = 3 ln 2 + ln 3 = 2.0793+1.0986
=3.1779
c) ln (12)^(1/3) = 1/3 ln (2^2*3) =1/3 (1.3862+1.0986)
= 0.8283
d) ln (1/72) = -ln 72 = -ln 9 -ln 8
= -3 ln 3 - 3ln 2
= -5.2752
