Given:
Consider the equation is:

To prove:
by using the properties of logarithms.
Solution:
We have,

Taking left hand side (LHS), we get

![\left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Clog_ab%3D%5Cdfrac%7B%5Clog_x%20a%7D%7B%5Clog_x%20b%7D%5Cright%5D)

![[\because \log x^n=n\log x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Clog%20x%5En%3Dn%5Clog%20x%5D)

![\left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Clog_ab%3D%5Cdfrac%7B%5Clog_x%20a%7D%7B%5Clog_x%20b%7D%5Cright%5D)

Hence proved.
C. 10/x+8
The easy way to do it would be to take it one step at a time.
Answer:

Step-by-step explanation:
In the distributive property each value inside the parenthesis will be multiplied by the value outside the parenthesis.
In the expression 3(x - 1) it will look like:

Then we multiply both value separately giving us:

So in conclusion it would be right to assume that.

Answer:
y=0.8x
Step-by-step explanation:
take two points from the graph
(5,4) and (0,0)
then do y2-y1/x2-x1
4-0/5-0
4/5=.8
Since the equation for solving circumference is 2

r, you can see that 2

r = 46. Dividing 2

on both sides will give you r, or the radius.
Hope this helped! :)