Tickets to the movies cost $12 for adults and $8 for children. a group of 14 people went to the movies, and the tickets cost $136. the system of equations models this situation, where x is the number of adults and y is the number of children. x y = 14 12x 8y = 136 how many adults and how many children were in the group?
a. 9 adults and 5 children
b.< < 6 adults and 8 children
c. 4 adults and 10 children
d. 8 adults and 6 children

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

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