Assuming you meant <span>e⁴ thus
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![\bf ln\left( \sqrt[7]{e^4} \right)\implies log_e\left( e^{\frac{4}{7}} \right)\\\\ -----------------------------\\\\ log_{{ a}}{{ a}}^x\implies x=x\impliedby \textit{let's use this cancellation rule}\\\\ -----------------------------\\\\ log_e\left( e^{\frac{4}{7}} \right)\iff \cfrac{4}{7}](https://tex.z-dn.net/?f=%5Cbf%20ln%5Cleft%28%20%5Csqrt%5B7%5D%7Be%5E4%7D%20%5Cright%29%5Cimplies%20log_e%5Cleft%28%20e%5E%7B%5Cfrac%7B4%7D%7B7%7D%7D%20%5Cright%29%5C%5C%5C%5C%0A-----------------------------%5C%5C%5C%5C%0Alog_%7B%7B%20%20a%7D%7D%7B%7B%20%20a%7D%7D%5Ex%5Cimplies%20x%3Dx%5Cimpliedby%20%5Ctextit%7Blet%27s%20use%20this%20cancellation%20rule%7D%5C%5C%5C%5C%0A-----------------------------%5C%5C%5C%5C%0Alog_e%5Cleft%28%20e%5E%7B%5Cfrac%7B4%7D%7B7%7D%7D%20%5Cright%29%5Ciff%20%5Ccfrac%7B4%7D%7B7%7D)
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11. By what number would you divide both sides of the equation to solve it? b) - 36 = -4g
2 answers:
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1. Polynomials are closed under the operations of addition and substraction mean that:
If we add two polynomials, the result is still a polynomial (so still in the set of polynomials)
Also, If we subtract 2 polynomials, the result is a polynomial.
2. Example: given the polynomials :
and 
Addition example:
Subtraction example:
=
=
So both M(x)+N(x) and N(x)-M(x) are polynomials
If we add two polynomials, the result is still a polynomial (so still in the set of polynomials)
Also, If we subtract 2 polynomials, the result is a polynomial.
2. Example: given the polynomials :
Addition example:
Subtraction example:
=
=
So both M(x)+N(x) and N(x)-M(x) are polynomials