Answer:
<h2>24</h2>
Step-by-step explanation:
Given the following logarithmic expressions
, we are to find the value of 
Substituting x = a³, y = a⁷ and z = a⁻² into the log function
we will have;

Hence, the value of the logarithm expression is 24
Step-by-step explanation:
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Answer:
New cars sold = 20,
Used cars sold = 25
Cars serviced = 290
Step-by-step explanation:
In a month they sold fifteen less used cars than twice the number of new cars.
Lets say 'x' number of new cars were sold, then:
The number of used car sold is:

In the same month they serviced fifty more than twelve times the number of new cars sold. So the number of cars serviced is:

Altogether they sold or serviced 335 cars, so the sum of all the cars sold and serviced should be 335:

Solving for 'x' we get:




Therefore, the number of new cars sold in that month is 20.
Number of used car sold 
Number of cars serviced 
We can also cross check by summing them up:

Answer:
After 4 movies it will be equal
Step-by-step explanation:
10x + 160 = 50x
160 = 40x
4 = x
Check:
10x + 160 =
10(4) + 160 =
40 + 160 = 200
50x =
50 x 4 = 200
200 = 200