I'm studying for my precalc exam and have completed 42 practice problems. I have 3 I need to answer that I can't. Please help. What is the base of the function G(x) = log subscript b x if it's graph has points (16,4)? Using the properties of logarithms how do I rewrite log subscript 5 2/3 + log subscript 5 9/10? What is the value of log subscript 2 (8 1/2 )? Thank you so much my brain is about to explode with the amount of math I've done in the past two days.

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<<What is the base of the function
G(x) = log subscript b x
if it's graph has points (16,4)?>>
Ask yourself this:
What number to the 16th power is 4? The answer is 1.09051. That is the base b of the G(x) log function in this case.

<<Using the properties of logarithms how do I rewrite log subscript 5 2/3 + log subscript 5 9/10?>>
log(sub5) 2/3 + log(sub5) 9/10?>>
= log(sub5) [(2/3)*(9/10)]
= log(sub5) 3/5

<<What is the value of
log(sub2) (8 1/2 )?
2^x = 8.5
x log 2 = log 8.5 (use any base)
x = 3.087

I can't remember how to create a system of equations using one cooridnate plain point can anyone help me???

Certainly! To create a system of equations using one coordinate point, you will need both the equation of the line and the values of the coordinates to substitute into the equation. Here's how you can do it:

1. Start by finding the equation of the line using the given point (x, y) and the slope (m) if it's given. If the slope is not given, you'll need an additional point to calculate it.
2. Substitute the values of the coordinates (x, y) into the equation of the line to create the first equation of the system.
3. Repeat the process for another point on the same line. You can choose any other point that lies on the line.
4. Write down the equation using the new coordinates to create the second equation of the system.
5. Solve the system of equations to find the values of the variables.

If you can provide the specific coordinate point and any additional information, I can guide you through the process of creating a system of equations using that point.