Point D (-2,-6)>>(x,-y)>> Point D’(-2,6)
Point D’ (-2,6)>> (-x,y)>> Point D’’(2,6)
        
                    
             
        
        
        
D how much randall occured in january?
        
             
        
        
        
Given:
4log1/2^w (2log1/2^u-3log1/2^v)
Req'd:
Single logarithm = ?
Sol'n:
First remove the parenthesis,
4 log 1/2 (w) + 2 log 1/2 (u) - 3 log 1/2 (v)
Simplify each term,
Simplify the 4 log 1/2 (w) by moving the constant 4 inside the logarithm;
Simplify the 2 log 1/2 (u) by moving the constant 2 inside the logarithm;
Simplify the -3 log 1/2 (v) by moving the constant -3 inside the logarithm:
 log 1/2 (w^4)  + 2 log 1/2 (u) - 3 log 1/2 (v) 
log 1/2 (w^4) + log 1/2 (u^2) - log 1/2 (v^3)
We have to use the product property of logarithms which is log of b (x) + log of b (y) = log of b (xy):
Thus,
Log of 1/2 (w^4 u^2) - log of 1/2 (v^3) 
then use the quotient property of logarithms which is log of b (x)  - log of b (y) = log of b (x/y)
Therefore, 
log of 1/2 (w^4 u^2 / v^3)
and for the final step and answer, reorder or rearrange w^4 and u^2:
log of 1/2 (u^2 w^4 / v^3)  
        
                    
             
        
        
        
Answer:12 cups of sugar
Step-by-step explanation:
There is 6 batches each batch has two cups you would do 6x2 for 12 cups.