Question

What is the value of the natural logarithm when x=0.4 is rounded to the nearest hundredth?

Answer 1

hello :
ln (0.4) = - 0.92....( rounded to the nearest hundredth )

Answer 2

`\ln 0.4 \approx -0.92`

Explanation:

Since x is lesser than 1, then value of its natural logarithm must be negative. Likewise, the natural logarithm is a transcendental function and an irrational number, then it can only be estimated by approximations. One approach is using Taylor Polynomials, whose approximation is:

`\ln 0.4 \approx -0.92`