Question

What is the value of the natural logarithm when x =0.6 is rounded to the nearest hundredth

A 0.78
B. -0.51
C. -0.22
D. 1.79

Answer 1

-0.51

Explanation:

Given : x =0.6

To Find: what is the value of the natural logarithm when x =0.6 is rounded to the nearest hundredth

Solution:

The natural logarithm of a number is its logarithm to the base of the mathematical constant e, where e is an irrational and transcendental number approximately equal to 2.71

We are supposed to find
`\ln 0.6`

Using calculator

`\ln 0.6=-0.5108`

Thus the value of
`\ln 0.6=-0.5108`

So, option B is correct.

Hence the value of the natural logarithm when x =0.6 is rounded to the nearest hundredth is -0.51

Answer 2

We are tasked to determine the natural logarithm when x = 0.6.
x = 0.6, applying natural logarithm on both sides, we have it:
ln x = ln 0.6 using a scientific calculator, enter ln 0.6 and then this would give an answer of -0.5108256238
As per instruction, we are required to round the answer to the nearest hundredth such as the final answer is -0.51.

The answer is the letter "B".