For this case we must solve the following equation:

For this, we follow the steps below:
We find the Neperian logarithm on both sides of the equation to remove the variable from the exponent

We use one of the logarithm properties to extract x from the exponent:

We subtract xln (7) on both sides of the equation:

We take x common factor:

We divide between
on both sides of the equation, then:

Answer:

Answer:
- 2^(1/2) = √2
- 2^(2/3) = ∛(2^3)
- 3^(3/2) = √(3^3)
- 3^(1/2) = √3
Step-by-step explanation:
For each of these, you can make use of the form
![\displaystyle a^{\frac{m}{n}}=\sqrt[n]{a^{m}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20a%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%3D%5Csqrt%5Bn%5D%7Ba%5E%7Bm%7D%7D)
Answer:
50,803,200 ways
Step-by-step explanation:
In this situation, since you should alternate girl-boy or boy-girl, the line-up can either start with a boy or a girl kicking which would yield one of the two following patterns:
BGBGBGBGBGBGBG or GBGBGBGBGBGBGB.
For each of those patterns, there are 7! ways to arrange all boys and 7! ways to arrange all girls. The number of ways that a line-up can be made for one round of kicking is:

There are 50,803,200 ways to set the line-up.
Answer:
Step-by-step explanation:
(x + 3)²(x - 5)(x - 8)(x + 7)
Answer:
The transformation is rigid because the corresponding side lengths and angles are congruent.
Step-by-step explanation:
Since we have congruent triangles (not similar triangles), they will have to have the same length and angles throughout your transformation. Therefore, our answer is the 1st Option.