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➷ 2) The integral of a constant follows this rule:
adx = ax
In this case, it is 1dx = 1x
This can be simplified to just x
Add a constant to this, to get the final answer of:
x + C
3) The integrals power rule is:

Substitute the values in:

This can be simplified to:

Add a constant to this to get the final answer of:

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Well there are no even numbers in there, so the probability of taking one out must be 0
I think it's 16.. idkk look it up on google
Basic properties that will be used:

![x^{1/n}=\sqrt[n]x](https://tex.z-dn.net/?f=x%5E%7B1%2Fn%7D%3D%5Csqrt%5Bn%5Dx)

All of these expression can be written to match on or more of the patterns above.
![19.\quad\log_5\sqrt[4]{25}=\log_5(5^2)^{1/4}=\dfrac14\log_55^2=\dfrac12\log_55=\dfrac12](https://tex.z-dn.net/?f=19.%5Cquad%5Clog_5%5Csqrt%5B4%5D%7B25%7D%3D%5Clog_5%285%5E2%29%5E%7B1%2F4%7D%3D%5Cdfrac14%5Clog_55%5E2%3D%5Cdfrac12%5Clog_55%3D%5Cdfrac12)



![27.\quad\log_3\sqrt[6]{243}=\log_3(3^5)^{1/6}=\dfrac16\log_33^5=\dfrac56\log_33=\dfrac56](https://tex.z-dn.net/?f=27.%5Cquad%5Clog_3%5Csqrt%5B6%5D%7B243%7D%3D%5Clog_3%283%5E5%29%5E%7B1%2F6%7D%3D%5Cdfrac16%5Clog_33%5E5%3D%5Cdfrac56%5Clog_33%3D%5Cdfrac56)
For this all you have to do is plug in the x and y values into the equation and see if it is a true statement. If it's true then it's on the line. The x value is 2 and the y is -4.
12x + 3y = 6
12 (2) + 3 (-4) = 6
24 -12 = 6
12 = 6
The statement 12=6 is not a true statement so that point is not on the line.