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Chapter 14: Problem 22

Using your calculator, find the natural logarithes (?u) of cach of the foltowing number: (a) \(0.5\) (b) 2 (c) 50 (d) 130

Short Answer

Expert verified
(a) \(\ln(0.5) \approx -0.6931\) (b) \(\ln(2) \approx 0.6931\) (c) \(\ln(50) \approx 3.9120\) (d) \(\ln(130) \approx 4.8675\)

Step by step solution

01

(a) Finding the natural logarithm of 0.5

To find the natural logarithm of 0.5, simply input ln(0.5) or log_e(0.5) into your calculator. The result is approximately \(\ln(0.5)=-0.6931\).
02

(b) Finding the natural logarithm of 2

To find the natural logarithm of 2, input ln(2) or log_e(2) into your calculator. The result is approximately \(\ln(2)=0.6931\).
03

(c) Finding the natural logarithm of 50

To find the natural logarithm of 50, input ln(50) or log_e(50) into your calculator. The result is approximately \(\ln(50)=3.9120\).
04

(d) Finding the natural logarithm of 130

To find the natural logarithm of 130, input ln(130) or log_e(130) into your calculator. The result is approximately \(\ln(130)=4.8675\). In conclusion, the natural logarithms of the given numbers are: (a) \(\ln(0.5) \approx -0.6931\) (b) \(\ln(2) \approx 0.6931\) (c) \(\ln(50) \approx 3.9120\) (d) \(\ln(130) \approx 4.8675\)

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