Log N^3  = 3 log N
using the theorem log a^2  = 2 log a
        
                    
             
        
        
        
Multiple both sides by 5/1 and get 
-1/1 • (x-4) = -10/1
divide the numbers and get 
-1 • (x-4) = -10 
remove the parentheses 
- x-4 = 10 
move the constant to the right 
-x = -10-4
calculate 
-x = -14
change the signs 
x= 14
        
             
        
        
        
Answer:
 child's ticket =  4.75        adult ticket=10.75.
Step-by-step explanation:
The cost of an adult ticket is 6 more than that of a child ticket, so will be denoted by c+6. Now, we are told that the cost of four child tickets and two adult tickets is 40.50, so we can put this in an equation and solve for c:
(c+6)+(c+6)+c+c+c+c=40.50
6c+12=40.50
6c=28.50
c=4.75
Therefore the cost of a child's ticket (c) is 4.75 and the cost of an adult ticket (c+6) is 10.75.