The answer is 35 different groups.
Answer: 
We have something in the form log(x/y) where x = q^2*sqrt(m) and y = n^3. The log is base 2.
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Explanation:
It seems strange how the first two logs you wrote are base 2, but the third one is not. I'll assume that you meant to say it's also base 2. Because base 2 is fundamental to computing, logs of this nature are often referred to as binary logarithms.
I'm going to use these three log rules, which apply to any base.
- log(A) + log(B) = log(A*B)
- log(A) - log(B) = log(A/B)
- B*log(A) = log(A^B)
From there, we can then say the following:

Answer:
Step-by-step explanation:
new height is ¼ of original height
new width = ¼×8 = 2 inches
Since drapes have to be covered all over the window and the beneath of the window, both lengths have to be added.
(2 2/3) + ( 2 3/4)
(8/3) + (11/4)
(32+33)/12
65/12
5 5/12
Answer:

Step-by-step explanation:
Let's examine the following general product of two binomials with variables x and y in different terms:

so we want the following to happen:

Notice as well that
means that those two products must differ in just one unit so, one of them has to be negative, or three of them negative. Given that the product
, then we can consider the case in which one of this (b or d) is the negative factor. So let's then assume that
are positive.
We can then try combinations for
such as:

Just by selecting the first one 
we get that 
and since

This quadratic equation give as one of its solutions the integer: d = -2, and consequently,

Now we have a good combination of parameters to render the factoring form of the original trinomial:

which makes our factorization:
