strawberriewine
strawberriewine strawberriewine
  • 23-06-2017
  • Mathematics
contestada

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

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ghanami
ghanami ghanami
  • 23-06-2017
hello : 
 ln (0.4) = - 0.92....( rounded to the nearest hundredth )
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xero099
xero099 xero099
  • 24-04-2020

Answer:

[tex]\ln 0.4 \approx -0.92[/tex]

Step-by-step 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:

[tex]\ln 0.4 \approx -0.92[/tex]

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