The rewritten form of the expression given in the task content in which case, the properties of the logarithm are used is; log2(z³/y²) + log9(y⁴x¹²).
<h3>What is the equivalent expression to the logarithmic expression given in the task content?</h3>
It follows from the task content that the logarithmic expression given in the task content is;
log2z + 2log2z + 4log9y + 12log9x - 2log2y
In which case, all terms are to their respective logarithmic bases.
Hence, it follows that; we have;
log2z³ - log2y² + log9y⁴ + log9x¹²
= log2(z³/y²) + log9(y⁴x¹²)
Read more on logarithm laws;
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So the first column is if a serving is 36 so all you have to do is divide all the different ingredient amounts by three and that will tell you the answer for the serving of 12 row because 12 * 3 = 36
and for the 24 row just multiply all the numbers you get in the 12 row and that will be the answer cause 12 * 2 = 24
then what ever numbers you get on the 12 serving column just divide those by 12 and that will tell you how much you get for one serving and that will help you solve for the 60 one and the 300 one all you have to do it times the numbers by 60 and then 300
It's going to be kind of crazy, but you need to use Pythagorean's Theorem for this. That will look like this:

. FOIL out the left side to get

. FOIL out the first of the 2 expressions on the right to get

, and the second of the 2 to get 4x. Our equation now looks like this:

. Combine like terms to get an equation that still has square roots in it that we have to deal with:

and

. We will square both sides to get rid of the square root sign.

. This is a polynomial now that can be factored to solve for x. Bring the 2x over by subtraction and set the polynomial equal to 0.

. Factor out an x, leaving us with x(x-2)=0. That means that x = 0 or x - 2 = 0 and x = 2. Of course if we are solving for the length of a side we know it can't have a side length of 0, so it must have a side length that is a multiple of 2. x = 2
Answer:
4/3*100^3*π
Step-by-step explanation:
V = 4/3*π*r^3
= 4/3*π*100^3
≈ 4.18879*10^6
Slope intercept form is y=mx+b
m=slope
b=y-intercept
the slope is the rate of change of the graph, basically rise/run (change in y divided by change in x)
the y intercept is where the graph intercepts the y axis
we usually use this form because we can find the slope and find where it hits the y axis.
there are other forms that may be helpful later on, but this one is usually the easiest form to find from a graph