Amy makes the following statement:
2 answers:
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Option A : is the solution of the equation.
Explanation:
The equation is
To determine the value of x, let us simplify the equation.
Subtracting 5 from both sides of the equation, we have,
Simplifying, we get,
Now , dividing both sides of the equation by 8, we get,
Using the logarithmic definition that if then
Thus, rewriting the above expression using the logarithmic definition, we have,
⇒
Substituting the value of , we get,
Rounding off the answer to two decimal places, we get,
Hence, the solution of the equation is
Therefore, Option A is the correct answer.
Answer:
Lets a,b be elements of G. since G/K is abelian, then there exists k ∈ K such that ab * k = ba (because the class of ab, is equal to
, thus ab and ba are equal or you can obtain one from the other by multiplying by an element of K.
Since K is a subgroup of H, then k ∈ H. This means that you can obtain ba from ab by multiplying by an element of H, k. Thus, . Since a and b were generic elements of H, then H/G is abelian.