Answer:
Length increased by the multiplying of e
Step-by-step explanation:
From the question we are told that:
[tex]Cost = 4.3 + 6.89 *log(length)[/tex]
Therefore cost increase by 6.89 is given as
[tex]Cost' = 4.3 + 6.89 *log(length)+6.89[/tex]
[tex]Cost' = 4.3 + 6.89 (log(length)+1)[/tex]
Since
[tex]log_ee=1[/tex]
Therefore
[tex]Cost' = 4.3 + 6.89 (log(length)+log_ee)[/tex]
Since
[tex]log(ab)=log a+log b[/tex]
Therefore
[tex]4.3+6.89(log Length*e)[/tex]
Therefore
Length increased by the multiplying of e
Given:
[tex]\to \bold{Cost = 4.3 + 6.89 * \log(length)}[/tex]
To find:
The length is increased to 6,89 units in the cost?
Solution:
[tex]\to \bold{Cost = 4.3 + 6.89 * \log(length)}[/tex]
In this question, the cost equation increase by 6.89 that is:
[tex]Cost' = 4.3 + 6.89 * \log(length)+6.89\\\\Cost' = 4.3 + 6.89(\log(length) +1)[/tex]
[tex]\therefore \ \log_e \ e=1[/tex]
[tex]\because \\\\Cost' = 4.3 + 6.89( \log(length) + \log_e \ e)[/tex]
Formula:
[tex]\to \bold{\log(ab)=\log\ a+\log\ b }[/tex]
[tex]\to \bold{4.3+689(\log \ Length *e)}[/tex]
So, the final answer is "Increase length by e units".
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